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Finding the Fourth Proportional to 10,377.68, 15,565.37 and 3,713.91

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Solution

The fourth proportional to 10,377.68, 15,565.37 and 3,713.91 is: 5,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.68 : 15,565.37 = 3,713.91 : x
  2. Step 2: Convert to fraction form
    10,377.68/15,565.37 = 3,713.91/x
  3. Step 3: Cross multiply
    10,377.68x = 15,565.37 × 3,713.91
  4. Step 4: Simplify right side
    10,377.68x = 57,808,360.58
  5. Step 5: Solve for x
    x = 57,808,360.58/10,377.68
  6. Step 6: Final answer
    x = 5,570.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.