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Finding the Fourth Proportional to 10,032.78, 15,043.69 and 7,966.06

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Solution

The fourth proportional to 10,032.78, 15,043.69 and 7,966.06 is: 11,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.78 : 15,043.69 = 7,966.06 : x
  2. Step 2: Convert to fraction form
    10,032.78/15,043.69 = 7,966.06/x
  3. Step 3: Cross multiply
    10,032.78x = 15,043.69 × 7,966.06
  4. Step 4: Simplify right side
    10,032.78x = 119,838,937.16
  5. Step 5: Solve for x
    x = 119,838,937.16/10,032.78
  6. Step 6: Final answer
    x = 11,944.74

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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.