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Finding the Fourth Proportional to 10,405,800, 14,360,004 and 5,823,007.11

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Solution

The fourth proportional to 10,405,800, 14,360,004 and 5,823,007.11 is: 8,035,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405,800 : 14,360,004 = 5,823,007.11 : x
  2. Step 2: Convert to fraction form
    10,405,800/14,360,004 = 5,823,007.11/x
  3. Step 3: Cross multiply
    10,405,800x = 14,360,004 × 5,823,007.11
  4. Step 4: Simplify right side
    10,405,800x = 83,618,405,391,628.44
  5. Step 5: Solve for x
    x = 83,618,405,391,628.44/10,405,800
  6. Step 6: Final answer
    x = 8,035,749.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.