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Finding the Fourth Proportional to 10,295.74, 15,464.28 and 6,143.86

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Solution

The fourth proportional to 10,295.74, 15,464.28 and 6,143.86 is: 9,228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.74 : 15,464.28 = 6,143.86 : x
  2. Step 2: Convert to fraction form
    10,295.74/15,464.28 = 6,143.86/x
  3. Step 3: Cross multiply
    10,295.74x = 15,464.28 × 6,143.86
  4. Step 4: Simplify right side
    10,295.74x = 95,010,371.32
  5. Step 5: Solve for x
    x = 95,010,371.32/10,295.74
  6. Step 6: Final answer
    x = 9,228.12

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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.