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Finding the Fourth Proportional to 8,281.24, 12,400.74 and 8,035

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Solution

The fourth proportional to 8,281.24, 12,400.74 and 8,035 is: 12,032.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.24 : 12,400.74 = 8,035 : x
  2. Step 2: Convert to fraction form
    8,281.24/12,400.74 = 8,035/x
  3. Step 3: Cross multiply
    8,281.24x = 12,400.74 × 8,035
  4. Step 4: Simplify right side
    8,281.24x = 99,639,945.90
  5. Step 5: Solve for x
    x = 99,639,945.90/8,281.24
  6. Step 6: Final answer
    x = 12,032.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.