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Finding the Fourth Proportional to 10,375.53, 15,566.40 and 4,832.16

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Solution

The fourth proportional to 10,375.53, 15,566.40 and 4,832.16 is: 7,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.53 : 15,566.40 = 4,832.16 : x
  2. Step 2: Convert to fraction form
    10,375.53/15,566.40 = 4,832.16/x
  3. Step 3: Cross multiply
    10,375.53x = 15,566.40 × 4,832.16
  4. Step 4: Simplify right side
    10,375.53x = 75,219,335.42
  5. Step 5: Solve for x
    x = 75,219,335.42/10,375.53
  6. Step 6: Final answer
    x = 7,249.69

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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.