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Finding the Fourth Proportional to 8,057.13, 12,089.16 and 4,362

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Solution

The fourth proportional to 8,057.13, 12,089.16 and 4,362 is: 6,544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.13 : 12,089.16 = 4,362 : x
  2. Step 2: Convert to fraction form
    8,057.13/12,089.16 = 4,362/x
  3. Step 3: Cross multiply
    8,057.13x = 12,089.16 × 4,362
  4. Step 4: Simplify right side
    8,057.13x = 52,732,915.92
  5. Step 5: Solve for x
    x = 52,732,915.92/8,057.13
  6. Step 6: Final answer
    x = 6,544.88

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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.