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Finding the Fourth Proportional to 10,491.80, 14,478.14 and 5,775.17

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Solution

The fourth proportional to 10,491.80, 14,478.14 and 5,775.17 is: 7,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.80 : 14,478.14 = 5,775.17 : x
  2. Step 2: Convert to fraction form
    10,491.80/14,478.14 = 5,775.17/x
  3. Step 3: Cross multiply
    10,491.80x = 14,478.14 × 5,775.17
  4. Step 4: Simplify right side
    10,491.80x = 83,613,618.52
  5. Step 5: Solve for x
    x = 83,613,618.52/10,491.80
  6. Step 6: Final answer
    x = 7,969.43

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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.