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Finding the Fourth Proportional to 10,364.86, 14,303.41 and 5,649.04

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Solution

The fourth proportional to 10,364.86, 14,303.41 and 5,649.04 is: 7,795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.86 : 14,303.41 = 5,649.04 : x
  2. Step 2: Convert to fraction form
    10,364.86/14,303.41 = 5,649.04/x
  3. Step 3: Cross multiply
    10,364.86x = 14,303.41 × 5,649.04
  4. Step 4: Simplify right side
    10,364.86x = 80,800,535.23
  5. Step 5: Solve for x
    x = 80,800,535.23/10,364.86
  6. Step 6: Final answer
    x = 7,795.62

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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.