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Finding the Fourth Proportional to 8,590.80, 12,847.80 and 7,208.40

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Solution

The fourth proportional to 8,590.80, 12,847.80 and 7,208.40 is: 10,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.80 : 12,847.80 = 7,208.40 : x
  2. Step 2: Convert to fraction form
    8,590.80/12,847.80 = 7,208.40/x
  3. Step 3: Cross multiply
    8,590.80x = 12,847.80 × 7,208.40
  4. Step 4: Simplify right side
    8,590.80x = 92,612,081.52
  5. Step 5: Solve for x
    x = 92,612,081.52/8,590.80
  6. Step 6: Final answer
    x = 10,780.38

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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.