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Finding the Fourth Proportional to 8,307.72, 12,461.49 and 2,761.47

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Solution

The fourth proportional to 8,307.72, 12,461.49 and 2,761.47 is: 4,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.72 : 12,461.49 = 2,761.47 : x
  2. Step 2: Convert to fraction form
    8,307.72/12,461.49 = 2,761.47/x
  3. Step 3: Cross multiply
    8,307.72x = 12,461.49 × 2,761.47
  4. Step 4: Simplify right side
    8,307.72x = 34,412,030.79
  5. Step 5: Solve for x
    x = 34,412,030.79/8,307.72
  6. Step 6: Final answer
    x = 4,142.18

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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.