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Finding the Fourth Proportional to 8,294.60, 12,427.88 and 6,987.26

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Solution

The fourth proportional to 8,294.60, 12,427.88 and 6,987.26 is: 10,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.60 : 12,427.88 = 6,987.26 : x
  2. Step 2: Convert to fraction form
    8,294.60/12,427.88 = 6,987.26/x
  3. Step 3: Cross multiply
    8,294.60x = 12,427.88 × 6,987.26
  4. Step 4: Simplify right side
    8,294.60x = 86,836,828.81
  5. Step 5: Solve for x
    x = 86,836,828.81/8,294.60
  6. Step 6: Final answer
    x = 10,469.08

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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.