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Finding the Fourth Proportional to 8,448.16, 12,660 and 5,812.96

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Solution

The fourth proportional to 8,448.16, 12,660 and 5,812.96 is: 8,711.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,448.16 : 12,660 = 5,812.96 : x
  2. Step 2: Convert to fraction form
    8,448.16/12,660 = 5,812.96/x
  3. Step 3: Cross multiply
    8,448.16x = 12,660 × 5,812.96
  4. Step 4: Simplify right side
    8,448.16x = 73,592,073.60
  5. Step 5: Solve for x
    x = 73,592,073.60/8,448.16
  6. Step 6: Final answer
    x = 8,711.02

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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.