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Finding the Fourth Proportional to 10,719.49, 14,785.52 and 7,539.53

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Solution

The fourth proportional to 10,719.49, 14,785.52 and 7,539.53 is: 10,399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,719.49 : 14,785.52 = 7,539.53 : x
  2. Step 2: Convert to fraction form
    10,719.49/14,785.52 = 7,539.53/x
  3. Step 3: Cross multiply
    10,719.49x = 14,785.52 × 7,539.53
  4. Step 4: Simplify right side
    10,719.49x = 111,475,833.91
  5. Step 5: Solve for x
    x = 111,475,833.91/10,719.49
  6. Step 6: Final answer
    x = 10,399.36

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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.