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Finding the Fourth Proportional to 10,630.56, 15,948.36 and 6,738.24

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Solution

The fourth proportional to 10,630.56, 15,948.36 and 6,738.24 is: 10,108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.56 : 15,948.36 = 6,738.24 : x
  2. Step 2: Convert to fraction form
    10,630.56/15,948.36 = 6,738.24/x
  3. Step 3: Cross multiply
    10,630.56x = 15,948.36 × 6,738.24
  4. Step 4: Simplify right side
    10,630.56x = 107,463,877.29
  5. Step 5: Solve for x
    x = 107,463,877.29/10,630.56
  6. Step 6: Final answer
    x = 10,108.96

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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.