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Finding the Fourth Proportional to 10,577.32, 15,836.46 and 8,122.12

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Solution

The fourth proportional to 10,577.32, 15,836.46 and 8,122.12 is: 12,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.32 : 15,836.46 = 8,122.12 : x
  2. Step 2: Convert to fraction form
    10,577.32/15,836.46 = 8,122.12/x
  3. Step 3: Cross multiply
    10,577.32x = 15,836.46 × 8,122.12
  4. Step 4: Simplify right side
    10,577.32x = 128,625,628.50
  5. Step 5: Solve for x
    x = 128,625,628.50/10,577.32
  6. Step 6: Final answer
    x = 12,160.51

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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.