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Finding the Fourth Proportional to 10,125.66, 15,189.70 and 4,281.50

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Solution

The fourth proportional to 10,125.66, 15,189.70 and 4,281.50 is: 6,422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.66 : 15,189.70 = 4,281.50 : x
  2. Step 2: Convert to fraction form
    10,125.66/15,189.70 = 4,281.50/x
  3. Step 3: Cross multiply
    10,125.66x = 15,189.70 × 4,281.50
  4. Step 4: Simplify right side
    10,125.66x = 65,034,700.55
  5. Step 5: Solve for x
    x = 65,034,700.55/10,125.66
  6. Step 6: Final answer
    x = 6,422.76

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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.