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Finding the Fourth Proportional to 8,147.46, 12,210.13 and 3,461.59

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Solution

The fourth proportional to 8,147.46, 12,210.13 and 3,461.59 is: 5,187.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.46 : 12,210.13 = 3,461.59 : x
  2. Step 2: Convert to fraction form
    8,147.46/12,210.13 = 3,461.59/x
  3. Step 3: Cross multiply
    8,147.46x = 12,210.13 × 3,461.59
  4. Step 4: Simplify right side
    8,147.46x = 42,266,463.91
  5. Step 5: Solve for x
    x = 42,266,463.91/8,147.46
  6. Step 6: Final answer
    x = 5,187.69

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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.