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Finding the Fourth Proportional to 10,499.01, 14,488.65 and 5,783.19

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Solution

The fourth proportional to 10,499.01, 14,488.65 and 5,783.19 is: 7,980.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.01 : 14,488.65 = 5,783.19 : x
  2. Step 2: Convert to fraction form
    10,499.01/14,488.65 = 5,783.19/x
  3. Step 3: Cross multiply
    10,499.01x = 14,488.65 × 5,783.19
  4. Step 4: Simplify right side
    10,499.01x = 83,790,615.79
  5. Step 5: Solve for x
    x = 83,790,615.79/10,499.01
  6. Step 6: Final answer
    x = 7,980.81

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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.