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Finding the Fourth Proportional to 8,176.52, 12,319.88 and 6,747.68

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Solution

The fourth proportional to 8,176.52, 12,319.88 and 6,747.68 is: 10,166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.52 : 12,319.88 = 6,747.68 : x
  2. Step 2: Convert to fraction form
    8,176.52/12,319.88 = 6,747.68/x
  3. Step 3: Cross multiply
    8,176.52x = 12,319.88 × 6,747.68
  4. Step 4: Simplify right side
    8,176.52x = 83,130,607.88
  5. Step 5: Solve for x
    x = 83,130,607.88/8,176.52
  6. Step 6: Final answer
    x = 10,166.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.