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Finding the Fourth Proportional to 8,535.96, 12,806.48 and 4,378.91

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Solution

The fourth proportional to 8,535.96, 12,806.48 and 4,378.91 is: 6,569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.96 : 12,806.48 = 4,378.91 : x
  2. Step 2: Convert to fraction form
    8,535.96/12,806.48 = 4,378.91/x
  3. Step 3: Cross multiply
    8,535.96x = 12,806.48 × 4,378.91
  4. Step 4: Simplify right side
    8,535.96x = 56,078,370.25
  5. Step 5: Solve for x
    x = 56,078,370.25/8,535.96
  6. Step 6: Final answer
    x = 6,569.66

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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.