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Finding the Fourth Proportional to 10,152.88, 15,192.42 and 8,381.41

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Solution

The fourth proportional to 10,152.88, 15,192.42 and 8,381.41 is: 12,541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.88 : 15,192.42 = 8,381.41 : x
  2. Step 2: Convert to fraction form
    10,152.88/15,192.42 = 8,381.41/x
  3. Step 3: Cross multiply
    10,152.88x = 15,192.42 × 8,381.41
  4. Step 4: Simplify right side
    10,152.88x = 127,333,957.88
  5. Step 5: Solve for x
    x = 127,333,957.88/10,152.88
  6. Step 6: Final answer
    x = 12,541.65

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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.