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Finding the Fourth Proportional to 8,306.77, 12,457.71 and 3,111.43

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Solution

The fourth proportional to 8,306.77, 12,457.71 and 3,111.43 is: 4,666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.77 : 12,457.71 = 3,111.43 : x
  2. Step 2: Convert to fraction form
    8,306.77/12,457.71 = 3,111.43/x
  3. Step 3: Cross multiply
    8,306.77x = 12,457.71 × 3,111.43
  4. Step 4: Simplify right side
    8,306.77x = 38,761,292.63
  5. Step 5: Solve for x
    x = 38,761,292.63/8,306.77
  6. Step 6: Final answer
    x = 4,666.23

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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.