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Finding the Fourth Proportional to 10,976.49, 15,147.79 and 6,498.61

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Solution

The fourth proportional to 10,976.49, 15,147.79 and 6,498.61 is: 8,968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.49 : 15,147.79 = 6,498.61 : x
  2. Step 2: Convert to fraction form
    10,976.49/15,147.79 = 6,498.61/x
  3. Step 3: Cross multiply
    10,976.49x = 15,147.79 × 6,498.61
  4. Step 4: Simplify right side
    10,976.49x = 98,439,525.46
  5. Step 5: Solve for x
    x = 98,439,525.46/10,976.49
  6. Step 6: Final answer
    x = 8,968.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.