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Finding the Fourth Proportional to 10,031.43, 15,061.74 and 7,407.03

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Solution

The fourth proportional to 10,031.43, 15,061.74 and 7,407.03 is: 11,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.43 : 15,061.74 = 7,407.03 : x
  2. Step 2: Convert to fraction form
    10,031.43/15,061.74 = 7,407.03/x
  3. Step 3: Cross multiply
    10,031.43x = 15,061.74 × 7,407.03
  4. Step 4: Simplify right side
    10,031.43x = 111,562,760.03
  5. Step 5: Solve for x
    x = 111,562,760.03/10,031.43
  6. Step 6: Final answer
    x = 11,121.32

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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.