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Finding the Fourth Proportional to 10,427.64, 15,640.96 and 3,031.92

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Solution

The fourth proportional to 10,427.64, 15,640.96 and 3,031.92 is: 4,547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.64 : 15,640.96 = 3,031.92 : x
  2. Step 2: Convert to fraction form
    10,427.64/15,640.96 = 3,031.92/x
  3. Step 3: Cross multiply
    10,427.64x = 15,640.96 × 3,031.92
  4. Step 4: Simplify right side
    10,427.64x = 47,422,139.44
  5. Step 5: Solve for x
    x = 47,422,139.44/10,427.64
  6. Step 6: Final answer
    x = 4,547.73

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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.