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Finding the Fourth Proportional to 10,430.82, 14,394.92 and 5,715.14

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Solution

The fourth proportional to 10,430.82, 14,394.92 and 5,715.14 is: 7,887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.82 : 14,394.92 = 5,715.14 : x
  2. Step 2: Convert to fraction form
    10,430.82/14,394.92 = 5,715.14/x
  3. Step 3: Cross multiply
    10,430.82x = 14,394.92 × 5,715.14
  4. Step 4: Simplify right side
    10,430.82x = 82,268,882.54
  5. Step 5: Solve for x
    x = 82,268,882.54/10,430.82
  6. Step 6: Final answer
    x = 7,887.10

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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.