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Finding the Fourth Proportional to 8,587.74, 12,885.32 and 4,638.22

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Solution

The fourth proportional to 8,587.74, 12,885.32 and 4,638.22 is: 6,959.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.74 : 12,885.32 = 4,638.22 : x
  2. Step 2: Convert to fraction form
    8,587.74/12,885.32 = 4,638.22/x
  3. Step 3: Cross multiply
    8,587.74x = 12,885.32 × 4,638.22
  4. Step 4: Simplify right side
    8,587.74x = 59,764,948.93
  5. Step 5: Solve for x
    x = 59,764,948.93/8,587.74
  6. Step 6: Final answer
    x = 6,959.33

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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.