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Finding the Fourth Proportional to 10,041.74, 13,856.16 and 5,565.75

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Solution

The fourth proportional to 10,041.74, 13,856.16 and 5,565.75 is: 7,679.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.74 : 13,856.16 = 5,565.75 : x
  2. Step 2: Convert to fraction form
    10,041.74/13,856.16 = 5,565.75/x
  3. Step 3: Cross multiply
    10,041.74x = 13,856.16 × 5,565.75
  4. Step 4: Simplify right side
    10,041.74x = 77,119,891.43
  5. Step 5: Solve for x
    x = 77,119,891.43/10,041.74
  6. Step 6: Final answer
    x = 7,679.93

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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.