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Finding the Fourth Proportional to 7,031.88, 10,564.22 and 4,112.24

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Solution

The fourth proportional to 7,031.88, 10,564.22 and 4,112.24 is: 6,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.88 : 10,564.22 = 4,112.24 : x
  2. Step 2: Convert to fraction form
    7,031.88/10,564.22 = 4,112.24/x
  3. Step 3: Cross multiply
    7,031.88x = 10,564.22 × 4,112.24
  4. Step 4: Simplify right side
    7,031.88x = 43,442,534.67
  5. Step 5: Solve for x
    x = 43,442,534.67/7,031.88
  6. Step 6: Final answer
    x = 6,177.94

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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.