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Finding the Fourth Proportional to 10,415.32, 15,633.78 and 6,976.60

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Solution

The fourth proportional to 10,415.32, 15,633.78 and 6,976.60 is: 10,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.32 : 15,633.78 = 6,976.60 : x
  2. Step 2: Convert to fraction form
    10,415.32/15,633.78 = 6,976.60/x
  3. Step 3: Cross multiply
    10,415.32x = 15,633.78 × 6,976.60
  4. Step 4: Simplify right side
    10,415.32x = 109,070,629.55
  5. Step 5: Solve for x
    x = 109,070,629.55/10,415.32
  6. Step 6: Final answer
    x = 10,472.13

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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.