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Finding the Fourth Proportional to 8,461.29, 12,693.80 and 2,537.94

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Solution

The fourth proportional to 8,461.29, 12,693.80 and 2,537.94 is: 3,807.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.29 : 12,693.80 = 2,537.94 : x
  2. Step 2: Convert to fraction form
    8,461.29/12,693.80 = 2,537.94/x
  3. Step 3: Cross multiply
    8,461.29x = 12,693.80 × 2,537.94
  4. Step 4: Simplify right side
    8,461.29x = 32,216,102.77
  5. Step 5: Solve for x
    x = 32,216,102.77/8,461.29
  6. Step 6: Final answer
    x = 3,807.47

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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.