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Finding the Fourth Proportional to 10,525.32, 15,775.68 and 5,844.24

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Solution

The fourth proportional to 10,525.32, 15,775.68 and 5,844.24 is: 8,759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.32 : 15,775.68 = 5,844.24 : x
  2. Step 2: Convert to fraction form
    10,525.32/15,775.68 = 5,844.24/x
  3. Step 3: Cross multiply
    10,525.32x = 15,775.68 × 5,844.24
  4. Step 4: Simplify right side
    10,525.32x = 92,196,860.08
  5. Step 5: Solve for x
    x = 92,196,860.08/10,525.32
  6. Step 6: Final answer
    x = 8,759.53

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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.