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Finding the Fourth Proportional to 8,473.92, 12,708.72 and 4,776

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Solution

The fourth proportional to 8,473.92, 12,708.72 and 4,776 is: 7,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.92 : 12,708.72 = 4,776 : x
  2. Step 2: Convert to fraction form
    8,473.92/12,708.72 = 4,776/x
  3. Step 3: Cross multiply
    8,473.92x = 12,708.72 × 4,776
  4. Step 4: Simplify right side
    8,473.92x = 60,696,846.72
  5. Step 5: Solve for x
    x = 60,696,846.72/8,473.92
  6. Step 6: Final answer
    x = 7,162.78

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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.