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Finding the Fourth Proportional to 10,193.06, 15,304.18 and 7,568.66

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Solution

The fourth proportional to 10,193.06, 15,304.18 and 7,568.66 is: 11,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.06 : 15,304.18 = 7,568.66 : x
  2. Step 2: Convert to fraction form
    10,193.06/15,304.18 = 7,568.66/x
  3. Step 3: Cross multiply
    10,193.06x = 15,304.18 × 7,568.66
  4. Step 4: Simplify right side
    10,193.06x = 115,832,135.00
  5. Step 5: Solve for x
    x = 115,832,135.00/10,193.06
  6. Step 6: Final answer
    x = 11,363.82

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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.