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Finding the Fourth Proportional to 10,144.12, 15,215.78 and 4,597.44

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Solution

The fourth proportional to 10,144.12, 15,215.78 and 4,597.44 is: 6,895.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.12 : 15,215.78 = 4,597.44 : x
  2. Step 2: Convert to fraction form
    10,144.12/15,215.78 = 4,597.44/x
  3. Step 3: Cross multiply
    10,144.12x = 15,215.78 × 4,597.44
  4. Step 4: Simplify right side
    10,144.12x = 69,953,635.60
  5. Step 5: Solve for x
    x = 69,953,635.60/10,144.12
  6. Step 6: Final answer
    x = 6,895.98

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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.