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Finding the Fourth Proportional to 10,041.11, 13,856.72 and 5,565.14

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Solution

The fourth proportional to 10,041.11, 13,856.72 and 5,565.14 is: 7,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.11 : 13,856.72 = 5,565.14 : x
  2. Step 2: Convert to fraction form
    10,041.11/13,856.72 = 5,565.14/x
  3. Step 3: Cross multiply
    10,041.11x = 13,856.72 × 5,565.14
  4. Step 4: Simplify right side
    10,041.11x = 77,114,489.63
  5. Step 5: Solve for x
    x = 77,114,489.63/10,041.11
  6. Step 6: Final answer
    x = 7,679.88

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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.