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Finding the Fourth Proportional to 10,299.52, 15,405.72 and 8,698.24

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Solution

The fourth proportional to 10,299.52, 15,405.72 and 8,698.24 is: 13,010.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.52 : 15,405.72 = 8,698.24 : x
  2. Step 2: Convert to fraction form
    10,299.52/15,405.72 = 8,698.24/x
  3. Step 3: Cross multiply
    10,299.52x = 15,405.72 × 8,698.24
  4. Step 4: Simplify right side
    10,299.52x = 134,002,649.93
  5. Step 5: Solve for x
    x = 134,002,649.93/10,299.52
  6. Step 6: Final answer
    x = 13,010.57

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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.