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Finding the Fourth Proportional to 6,886.18, 10,271.91 and 6,221.80

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Solution

The fourth proportional to 6,886.18, 10,271.91 and 6,221.80 is: 9,280.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.18 : 10,271.91 = 6,221.80 : x
  2. Step 2: Convert to fraction form
    6,886.18/10,271.91 = 6,221.80/x
  3. Step 3: Cross multiply
    6,886.18x = 10,271.91 × 6,221.80
  4. Step 4: Simplify right side
    6,886.18x = 63,909,769.64
  5. Step 5: Solve for x
    x = 63,909,769.64/6,886.18
  6. Step 6: Final answer
    x = 9,280.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.