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Finding the Fourth Proportional to 8,341.38, 12,503.07 and 5,421.78

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Solution

The fourth proportional to 8,341.38, 12,503.07 and 5,421.78 is: 8,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.38 : 12,503.07 = 5,421.78 : x
  2. Step 2: Convert to fraction form
    8,341.38/12,503.07 = 5,421.78/x
  3. Step 3: Cross multiply
    8,341.38x = 12,503.07 × 5,421.78
  4. Step 4: Simplify right side
    8,341.38x = 67,788,894.86
  5. Step 5: Solve for x
    x = 67,788,894.86/8,341.38
  6. Step 6: Final answer
    x = 8,126.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.