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Finding the Fourth Proportional to 10,767.68, 16,148.40 and 4,192.40

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Solution

The fourth proportional to 10,767.68, 16,148.40 and 4,192.40 is: 6,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.68 : 16,148.40 = 4,192.40 : x
  2. Step 2: Convert to fraction form
    10,767.68/16,148.40 = 4,192.40/x
  3. Step 3: Cross multiply
    10,767.68x = 16,148.40 × 4,192.40
  4. Step 4: Simplify right side
    10,767.68x = 67,700,552.16
  5. Step 5: Solve for x
    x = 67,700,552.16/10,767.68
  6. Step 6: Final answer
    x = 6,287.39

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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.