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Finding the Fourth Proportional to 8,287.74, 12,410.49 and 8,041.50

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Solution

The fourth proportional to 8,287.74, 12,410.49 and 8,041.50 is: 12,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.74 : 12,410.49 = 8,041.50 : x
  2. Step 2: Convert to fraction form
    8,287.74/12,410.49 = 8,041.50/x
  3. Step 3: Cross multiply
    8,287.74x = 12,410.49 × 8,041.50
  4. Step 4: Simplify right side
    8,287.74x = 99,798,955.34
  5. Step 5: Solve for x
    x = 99,798,955.34/8,287.74
  6. Step 6: Final answer
    x = 12,041.76

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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.