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Finding the Fourth Proportional to 8,760.46, 12,089.49 and 4,781.60

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Solution

The fourth proportional to 8,760.46, 12,089.49 and 4,781.60 is: 6,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,760.46 : 12,089.49 = 4,781.60 : x
  2. Step 2: Convert to fraction form
    8,760.46/12,089.49 = 4,781.60/x
  3. Step 3: Cross multiply
    8,760.46x = 12,089.49 × 4,781.60
  4. Step 4: Simplify right side
    8,760.46x = 57,807,105.38
  5. Step 5: Solve for x
    x = 57,807,105.38/8,760.46
  6. Step 6: Final answer
    x = 6,598.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.