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Finding the Fourth Proportional to 8,130.65, 12,178.17 and 4,836.47

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Solution

The fourth proportional to 8,130.65, 12,178.17 and 4,836.47 is: 7,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.65 : 12,178.17 = 4,836.47 : x
  2. Step 2: Convert to fraction form
    8,130.65/12,178.17 = 4,836.47/x
  3. Step 3: Cross multiply
    8,130.65x = 12,178.17 × 4,836.47
  4. Step 4: Simplify right side
    8,130.65x = 58,899,292.97
  5. Step 5: Solve for x
    x = 58,899,292.97/8,130.65
  6. Step 6: Final answer
    x = 7,244.11

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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.