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Finding the Fourth Proportional to 10,456.86, 15,684.12 and 3,061.38

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Solution

The fourth proportional to 10,456.86, 15,684.12 and 3,061.38 is: 4,591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.86 : 15,684.12 = 3,061.38 : x
  2. Step 2: Convert to fraction form
    10,456.86/15,684.12 = 3,061.38/x
  3. Step 3: Cross multiply
    10,456.86x = 15,684.12 × 3,061.38
  4. Step 4: Simplify right side
    10,456.86x = 48,015,051.29
  5. Step 5: Solve for x
    x = 48,015,051.29/10,456.86
  6. Step 6: Final answer
    x = 4,591.73

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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.