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Finding the Fourth Proportional to 10,509.30, 15,759.63 and 8,422.74

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Solution

The fourth proportional to 10,509.30, 15,759.63 and 8,422.74 is: 12,630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.30 : 15,759.63 = 8,422.74 : x
  2. Step 2: Convert to fraction form
    10,509.30/15,759.63 = 8,422.74/x
  3. Step 3: Cross multiply
    10,509.30x = 15,759.63 × 8,422.74
  4. Step 4: Simplify right side
    10,509.30x = 132,739,265.99
  5. Step 5: Solve for x
    x = 132,739,265.99/10,509.30
  6. Step 6: Final answer
    x = 12,630.65

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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.