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Finding the Fourth Proportional to 10,499.49, 14,489.25 and 5,719.71

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Solution

The fourth proportional to 10,499.49, 14,489.25 and 5,719.71 is: 7,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.49 : 14,489.25 = 5,719.71 : x
  2. Step 2: Convert to fraction form
    10,499.49/14,489.25 = 5,719.71/x
  3. Step 3: Cross multiply
    10,499.49x = 14,489.25 × 5,719.71
  4. Step 4: Simplify right side
    10,499.49x = 82,874,341.00
  5. Step 5: Solve for x
    x = 82,874,341.00/10,499.49
  6. Step 6: Final answer
    x = 7,893.18

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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.