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Finding the Fourth Proportional to 10,718.62, 16,048.22 and 8,078.13

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Solution

The fourth proportional to 10,718.62, 16,048.22 and 8,078.13 is: 12,094.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,718.62 : 16,048.22 = 8,078.13 : x
  2. Step 2: Convert to fraction form
    10,718.62/16,048.22 = 8,078.13/x
  3. Step 3: Cross multiply
    10,718.62x = 16,048.22 × 8,078.13
  4. Step 4: Simplify right side
    10,718.62x = 129,639,567.04
  5. Step 5: Solve for x
    x = 129,639,567.04/10,718.62
  6. Step 6: Final answer
    x = 12,094.80

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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.