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Finding the Fourth Proportional to 8,717.76, 12,031.54 and 5,180.98

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Solution

The fourth proportional to 8,717.76, 12,031.54 and 5,180.98 is: 7,150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,717.76 : 12,031.54 = 5,180.98 : x
  2. Step 2: Convert to fraction form
    8,717.76/12,031.54 = 5,180.98/x
  3. Step 3: Cross multiply
    8,717.76x = 12,031.54 × 5,180.98
  4. Step 4: Simplify right side
    8,717.76x = 62,335,168.11
  5. Step 5: Solve for x
    x = 62,335,168.11/8,717.76
  6. Step 6: Final answer
    x = 7,150.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.