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Finding the Fourth Proportional to 10,078.72, 15,120.28 and 4,232

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Solution

The fourth proportional to 10,078.72, 15,120.28 and 4,232 is: 6,348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.72 : 15,120.28 = 4,232 : x
  2. Step 2: Convert to fraction form
    10,078.72/15,120.28 = 4,232/x
  3. Step 3: Cross multiply
    10,078.72x = 15,120.28 × 4,232
  4. Step 4: Simplify right side
    10,078.72x = 63,989,024.96
  5. Step 5: Solve for x
    x = 63,989,024.96/10,078.72
  6. Step 6: Final answer
    x = 6,348.92

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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.