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Finding the Fourth Proportional to 8,613.56, 11,886.71 and 5,031

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Solution

The fourth proportional to 8,613.56, 11,886.71 and 5,031 is: 6,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.56 : 11,886.71 = 5,031 : x
  2. Step 2: Convert to fraction form
    8,613.56/11,886.71 = 5,031/x
  3. Step 3: Cross multiply
    8,613.56x = 11,886.71 × 5,031
  4. Step 4: Simplify right side
    8,613.56x = 59,802,038.01
  5. Step 5: Solve for x
    x = 59,802,038.01/8,613.56
  6. Step 6: Final answer
    x = 6,942.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.