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Finding the Fourth Proportional to 8,538.80, 12,808.20 and 5,586.35

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Solution

The fourth proportional to 8,538.80, 12,808.20 and 5,586.35 is: 8,379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.80 : 12,808.20 = 5,586.35 : x
  2. Step 2: Convert to fraction form
    8,538.80/12,808.20 = 5,586.35/x
  3. Step 3: Cross multiply
    8,538.80x = 12,808.20 × 5,586.35
  4. Step 4: Simplify right side
    8,538.80x = 71,551,088.07
  5. Step 5: Solve for x
    x = 71,551,088.07/8,538.80
  6. Step 6: Final answer
    x = 8,379.53

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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.