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Finding the Fourth Proportional to 10,627.32, 15,941 and 4,390.88

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Solution

The fourth proportional to 10,627.32, 15,941 and 4,390.88 is: 6,586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.32 : 15,941 = 4,390.88 : x
  2. Step 2: Convert to fraction form
    10,627.32/15,941 = 4,390.88/x
  3. Step 3: Cross multiply
    10,627.32x = 15,941 × 4,390.88
  4. Step 4: Simplify right side
    10,627.32x = 69,995,018.08
  5. Step 5: Solve for x
    x = 69,995,018.08/10,627.32
  6. Step 6: Final answer
    x = 6,586.33

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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.