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Finding the Fourth Proportional to 8,897, 12,277.86 and 5,171

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Solution

The fourth proportional to 8,897, 12,277.86 and 5,171 is: 7,135.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,897 : 12,277.86 = 5,171 : x
  2. Step 2: Convert to fraction form
    8,897/12,277.86 = 5,171/x
  3. Step 3: Cross multiply
    8,897x = 12,277.86 × 5,171
  4. Step 4: Simplify right side
    8,897x = 63,488,814.06
  5. Step 5: Solve for x
    x = 63,488,814.06/8,897
  6. Step 6: Final answer
    x = 7,135.98

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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.