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Finding the Fourth Proportional to 10,612.32, 15,894.23 and 5,069.58

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Solution

The fourth proportional to 10,612.32, 15,894.23 and 5,069.58 is: 7,592.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.32 : 15,894.23 = 5,069.58 : x
  2. Step 2: Convert to fraction form
    10,612.32/15,894.23 = 5,069.58/x
  3. Step 3: Cross multiply
    10,612.32x = 15,894.23 × 5,069.58
  4. Step 4: Simplify right side
    10,612.32x = 80,577,070.52
  5. Step 5: Solve for x
    x = 80,577,070.52/10,612.32
  6. Step 6: Final answer
    x = 7,592.79

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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.