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Finding the Fourth Proportional to 8,523, 12,778.10 and 5,741.86

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Solution

The fourth proportional to 8,523, 12,778.10 and 5,741.86 is: 8,608.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523 : 12,778.10 = 5,741.86 : x
  2. Step 2: Convert to fraction form
    8,523/12,778.10 = 5,741.86/x
  3. Step 3: Cross multiply
    8,523x = 12,778.10 × 5,741.86
  4. Step 4: Simplify right side
    8,523x = 73,370,061.27
  5. Step 5: Solve for x
    x = 73,370,061.27/8,523
  6. Step 6: Final answer
    x = 8,608.48

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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.