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Finding the Fourth Proportional to 8,938.84, 12,291.86 and 7,757.86

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Solution

The fourth proportional to 8,938.84, 12,291.86 and 7,757.86 is: 10,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,938.84 : 12,291.86 = 7,757.86 : x
  2. Step 2: Convert to fraction form
    8,938.84/12,291.86 = 7,757.86/x
  3. Step 3: Cross multiply
    8,938.84x = 12,291.86 × 7,757.86
  4. Step 4: Simplify right side
    8,938.84x = 95,358,529.02
  5. Step 5: Solve for x
    x = 95,358,529.02/8,938.84
  6. Step 6: Final answer
    x = 10,667.89

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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.