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Finding the Fourth Proportional to 10,700.52, 14,766.03 and 5,983.98

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Solution

The fourth proportional to 10,700.52, 14,766.03 and 5,983.98 is: 8,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.52 : 14,766.03 = 5,983.98 : x
  2. Step 2: Convert to fraction form
    10,700.52/14,766.03 = 5,983.98/x
  3. Step 3: Cross multiply
    10,700.52x = 14,766.03 × 5,983.98
  4. Step 4: Simplify right side
    10,700.52x = 88,359,628.20
  5. Step 5: Solve for x
    x = 88,359,628.20/10,700.52
  6. Step 6: Final answer
    x = 8,257.51

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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.