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Finding the Fourth Proportional to 8,983.56, 12,400.38 and 5,840.76

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Solution

The fourth proportional to 8,983.56, 12,400.38 and 5,840.76 is: 8,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,983.56 : 12,400.38 = 5,840.76 : x
  2. Step 2: Convert to fraction form
    8,983.56/12,400.38 = 5,840.76/x
  3. Step 3: Cross multiply
    8,983.56x = 12,400.38 × 5,840.76
  4. Step 4: Simplify right side
    8,983.56x = 72,427,643.49
  5. Step 5: Solve for x
    x = 72,427,643.49/8,983.56
  6. Step 6: Final answer
    x = 8,062.24

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Why These Related Problems?

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