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Finding the Fourth Proportional to 10,376.95, 15,565.43 and 3,800.47

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Solution

The fourth proportional to 10,376.95, 15,565.43 and 3,800.47 is: 5,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.95 : 15,565.43 = 3,800.47 : x
  2. Step 2: Convert to fraction form
    10,376.95/15,565.43 = 3,800.47/x
  3. Step 3: Cross multiply
    10,376.95x = 15,565.43 × 3,800.47
  4. Step 4: Simplify right side
    10,376.95x = 59,155,949.75
  5. Step 5: Solve for x
    x = 59,155,949.75/10,376.95
  6. Step 6: Final answer
    x = 5,700.71

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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.