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Finding the Fourth Proportional to 8,590.59, 12,885.84 and 8,170.74

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Solution

The fourth proportional to 8,590.59, 12,885.84 and 8,170.74 is: 12,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.59 : 12,885.84 = 8,170.74 : x
  2. Step 2: Convert to fraction form
    8,590.59/12,885.84 = 8,170.74/x
  3. Step 3: Cross multiply
    8,590.59x = 12,885.84 × 8,170.74
  4. Step 4: Simplify right side
    8,590.59x = 105,286,848.32
  5. Step 5: Solve for x
    x = 105,286,848.32/8,590.59
  6. Step 6: Final answer
    x = 12,256.07

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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.