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Finding the Fourth Proportional to 8,176.90, 12,258.06 and 6,801.52

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Solution

The fourth proportional to 8,176.90, 12,258.06 and 6,801.52 is: 10,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.90 : 12,258.06 = 6,801.52 : x
  2. Step 2: Convert to fraction form
    8,176.90/12,258.06 = 6,801.52/x
  3. Step 3: Cross multiply
    8,176.90x = 12,258.06 × 6,801.52
  4. Step 4: Simplify right side
    8,176.90x = 83,373,440.25
  5. Step 5: Solve for x
    x = 83,373,440.25/8,176.90
  6. Step 6: Final answer
    x = 10,196.22

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