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Finding the Fourth Proportional to 10,041.68, 13,857.35 and 5,565.42

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Solution

The fourth proportional to 10,041.68, 13,857.35 and 5,565.42 is: 7,680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.68 : 13,857.35 = 5,565.42 : x
  2. Step 2: Convert to fraction form
    10,041.68/13,857.35 = 5,565.42/x
  3. Step 3: Cross multiply
    10,041.68x = 13,857.35 × 5,565.42
  4. Step 4: Simplify right side
    10,041.68x = 77,121,972.84
  5. Step 5: Solve for x
    x = 77,121,972.84/10,041.68
  6. Step 6: Final answer
    x = 7,680.19

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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.