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Finding the Fourth Proportional to 8,575.60, 11,843.40 and 6,588.40

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Solution

The fourth proportional to 8,575.60, 11,843.40 and 6,588.40 is: 9,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.60 : 11,843.40 = 6,588.40 : x
  2. Step 2: Convert to fraction form
    8,575.60/11,843.40 = 6,588.40/x
  3. Step 3: Cross multiply
    8,575.60x = 11,843.40 × 6,588.40
  4. Step 4: Simplify right side
    8,575.60x = 78,029,056.56
  5. Step 5: Solve for x
    x = 78,029,056.56/8,575.60
  6. Step 6: Final answer
    x = 9,098.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.