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Finding the Fourth Proportional to 7,386.32, 10,193.28 and 4,029.20

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Solution

The fourth proportional to 7,386.32, 10,193.28 and 4,029.20 is: 5,560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.32 : 10,193.28 = 4,029.20 : x
  2. Step 2: Convert to fraction form
    7,386.32/10,193.28 = 4,029.20/x
  3. Step 3: Cross multiply
    7,386.32x = 10,193.28 × 4,029.20
  4. Step 4: Simplify right side
    7,386.32x = 41,070,763.78
  5. Step 5: Solve for x
    x = 41,070,763.78/7,386.32
  6. Step 6: Final answer
    x = 5,560.38

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Why These Related Problems?

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