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Finding the Fourth Proportional to 10,352.74, 15,524.85 and 4,111.90

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Solution

The fourth proportional to 10,352.74, 15,524.85 and 4,111.90 is: 6,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.74 : 15,524.85 = 4,111.90 : x
  2. Step 2: Convert to fraction form
    10,352.74/15,524.85 = 4,111.90/x
  3. Step 3: Cross multiply
    10,352.74x = 15,524.85 × 4,111.90
  4. Step 4: Simplify right side
    10,352.74x = 63,836,630.72
  5. Step 5: Solve for x
    x = 63,836,630.72/10,352.74
  6. Step 6: Final answer
    x = 6,166.16

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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.