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Finding the Fourth Proportional to 8,971.76, 12,383 and 5,197.52

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Solution

The fourth proportional to 8,971.76, 12,383 and 5,197.52 is: 7,173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.76 : 12,383 = 5,197.52 : x
  2. Step 2: Convert to fraction form
    8,971.76/12,383 = 5,197.52/x
  3. Step 3: Cross multiply
    8,971.76x = 12,383 × 5,197.52
  4. Step 4: Simplify right side
    8,971.76x = 64,360,890.16
  5. Step 5: Solve for x
    x = 64,360,890.16/8,971.76
  6. Step 6: Final answer
    x = 7,173.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.