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Finding the Fourth Proportional to 10,031.79, 15,042.18 and 7,965.06

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Solution

The fourth proportional to 10,031.79, 15,042.18 and 7,965.06 is: 11,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.79 : 15,042.18 = 7,965.06 : x
  2. Step 2: Convert to fraction form
    10,031.79/15,042.18 = 7,965.06/x
  3. Step 3: Cross multiply
    10,031.79x = 15,042.18 × 7,965.06
  4. Step 4: Simplify right side
    10,031.79x = 119,811,866.23
  5. Step 5: Solve for x
    x = 119,811,866.23/10,031.79
  6. Step 6: Final answer
    x = 11,943.22

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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.