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Finding the Fourth Proportional to 10,864.52, 14,993.78 and 6,148.80

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Solution

The fourth proportional to 10,864.52, 14,993.78 and 6,148.80 is: 8,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.52 : 14,993.78 = 6,148.80 : x
  2. Step 2: Convert to fraction form
    10,864.52/14,993.78 = 6,148.80/x
  3. Step 3: Cross multiply
    10,864.52x = 14,993.78 × 6,148.80
  4. Step 4: Simplify right side
    10,864.52x = 92,193,754.46
  5. Step 5: Solve for x
    x = 92,193,754.46/10,864.52
  6. Step 6: Final answer
    x = 8,485.76

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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.