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Finding the Fourth Proportional to 8,291.69, 12,429.72 and 4,127.76

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Solution

The fourth proportional to 8,291.69, 12,429.72 and 4,127.76 is: 6,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.69 : 12,429.72 = 4,127.76 : x
  2. Step 2: Convert to fraction form
    8,291.69/12,429.72 = 4,127.76/x
  3. Step 3: Cross multiply
    8,291.69x = 12,429.72 × 4,127.76
  4. Step 4: Simplify right side
    8,291.69x = 51,306,901.03
  5. Step 5: Solve for x
    x = 51,306,901.03/8,291.69
  6. Step 6: Final answer
    x = 6,187.75

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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.