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Finding the Fourth Proportional to 10,041.18, 13,856.91 and 5,565.03

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Solution

The fourth proportional to 10,041.18, 13,856.91 and 5,565.03 is: 7,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.18 : 13,856.91 = 5,565.03 : x
  2. Step 2: Convert to fraction form
    10,041.18/13,856.91 = 5,565.03/x
  3. Step 3: Cross multiply
    10,041.18x = 13,856.91 × 5,565.03
  4. Step 4: Simplify right side
    10,041.18x = 77,114,119.86
  5. Step 5: Solve for x
    x = 77,114,119.86/10,041.18
  6. Step 6: Final answer
    x = 7,679.79

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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.