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Finding the Fourth Proportional to 7,031.64, 10,553.22 and 3,569.88

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Solution

The fourth proportional to 7,031.64, 10,553.22 and 3,569.88 is: 5,357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.64 : 10,553.22 = 3,569.88 : x
  2. Step 2: Convert to fraction form
    7,031.64/10,553.22 = 3,569.88/x
  3. Step 3: Cross multiply
    7,031.64x = 10,553.22 × 3,569.88
  4. Step 4: Simplify right side
    7,031.64x = 37,673,729.01
  5. Step 5: Solve for x
    x = 37,673,729.01/7,031.64
  6. Step 6: Final answer
    x = 5,357.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.