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Finding the Fourth Proportional to 8,590.36, 12,885 and 5,125

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Solution

The fourth proportional to 8,590.36, 12,885 and 5,125 is: 7,687.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.36 : 12,885 = 5,125 : x
  2. Step 2: Convert to fraction form
    8,590.36/12,885 = 5,125/x
  3. Step 3: Cross multiply
    8,590.36x = 12,885 × 5,125
  4. Step 4: Simplify right side
    8,590.36x = 66,035,625
  5. Step 5: Solve for x
    x = 66,035,625/8,590.36
  6. Step 6: Final answer
    x = 7,687.18

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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.