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Finding the Fourth Proportional to 8,590.60, 12,885.90 and 7,683.40

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Solution

The fourth proportional to 8,590.60, 12,885.90 and 7,683.40 is: 11,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.60 : 12,885.90 = 7,683.40 : x
  2. Step 2: Convert to fraction form
    8,590.60/12,885.90 = 7,683.40/x
  3. Step 3: Cross multiply
    8,590.60x = 12,885.90 × 7,683.40
  4. Step 4: Simplify right side
    8,590.60x = 99,007,524.06
  5. Step 5: Solve for x
    x = 99,007,524.06/8,590.60
  6. Step 6: Final answer
    x = 11,525.10

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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.