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Finding the Fourth Proportional to 10,033.03, 15,044.07 and 7,966.31

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Solution

The fourth proportional to 10,033.03, 15,044.07 and 7,966.31 is: 11,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.03 : 15,044.07 = 7,966.31 : x
  2. Step 2: Convert to fraction form
    10,033.03/15,044.07 = 7,966.31/x
  3. Step 3: Cross multiply
    10,033.03x = 15,044.07 × 7,966.31
  4. Step 4: Simplify right side
    10,033.03x = 119,845,685.45
  5. Step 5: Solve for x
    x = 119,845,685.45/10,033.03
  6. Step 6: Final answer
    x = 11,945.11

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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.