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Finding the Fourth Proportional to 10,316.86, 15,471.41 and 4,078.24

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Solution

The fourth proportional to 10,316.86, 15,471.41 and 4,078.24 is: 6,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.86 : 15,471.41 = 4,078.24 : x
  2. Step 2: Convert to fraction form
    10,316.86/15,471.41 = 4,078.24/x
  3. Step 3: Cross multiply
    10,316.86x = 15,471.41 × 4,078.24
  4. Step 4: Simplify right side
    10,316.86x = 63,096,064.05
  5. Step 5: Solve for x
    x = 63,096,064.05/10,316.86
  6. Step 6: Final answer
    x = 6,115.82

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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.