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Finding the Fourth Proportional to 8,125.30, 12,164.19 and 7,347.09

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Solution

The fourth proportional to 8,125.30, 12,164.19 and 7,347.09 is: 10,999.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.30 : 12,164.19 = 7,347.09 : x
  2. Step 2: Convert to fraction form
    8,125.30/12,164.19 = 7,347.09/x
  3. Step 3: Cross multiply
    8,125.30x = 12,164.19 × 7,347.09
  4. Step 4: Simplify right side
    8,125.30x = 89,371,398.71
  5. Step 5: Solve for x
    x = 89,371,398.71/8,125.30
  6. Step 6: Final answer
    x = 10,999.15

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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.