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Finding the Fourth Proportional to 8,596.71, 12,885.93 and 5,466.87

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Solution

The fourth proportional to 8,596.71, 12,885.93 and 5,466.87 is: 8,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.71 : 12,885.93 = 5,466.87 : x
  2. Step 2: Convert to fraction form
    8,596.71/12,885.93 = 5,466.87/x
  3. Step 3: Cross multiply
    8,596.71x = 12,885.93 × 5,466.87
  4. Step 4: Simplify right side
    8,596.71x = 70,445,704.14
  5. Step 5: Solve for x
    x = 70,445,704.14/8,596.71
  6. Step 6: Final answer
    x = 8,194.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.