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Finding the Fourth Proportional to 8,344.48, 12,503.76 and 5,260

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Solution

The fourth proportional to 8,344.48, 12,503.76 and 5,260 is: 7,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.48 : 12,503.76 = 5,260 : x
  2. Step 2: Convert to fraction form
    8,344.48/12,503.76 = 5,260/x
  3. Step 3: Cross multiply
    8,344.48x = 12,503.76 × 5,260
  4. Step 4: Simplify right side
    8,344.48x = 65,769,777.60
  5. Step 5: Solve for x
    x = 65,769,777.60/8,344.48
  6. Step 6: Final answer
    x = 7,881.83

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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.