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Finding the Fourth Proportional to 10,288.90, 15,432.92 and 4,364.16

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Solution

The fourth proportional to 10,288.90, 15,432.92 and 4,364.16 is: 6,546.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.90 : 15,432.92 = 4,364.16 : x
  2. Step 2: Convert to fraction form
    10,288.90/15,432.92 = 4,364.16/x
  3. Step 3: Cross multiply
    10,288.90x = 15,432.92 × 4,364.16
  4. Step 4: Simplify right side
    10,288.90x = 67,351,732.15
  5. Step 5: Solve for x
    x = 67,351,732.15/10,288.90
  6. Step 6: Final answer
    x = 6,546.06

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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.