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Finding the Fourth Proportional to 8,627.32, 12,878.03 and 7,402.60

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Solution

The fourth proportional to 8,627.32, 12,878.03 and 7,402.60 is: 11,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.32 : 12,878.03 = 7,402.60 : x
  2. Step 2: Convert to fraction form
    8,627.32/12,878.03 = 7,402.60/x
  3. Step 3: Cross multiply
    8,627.32x = 12,878.03 × 7,402.60
  4. Step 4: Simplify right side
    8,627.32x = 95,330,904.88
  5. Step 5: Solve for x
    x = 95,330,904.88/8,627.32
  6. Step 6: Final answer
    x = 11,049.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.