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Finding the Fourth Proportional to 7,116.40, 10,677.80 and 3,218.80

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Solution

The fourth proportional to 7,116.40, 10,677.80 and 3,218.80 is: 4,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.40 : 10,677.80 = 3,218.80 : x
  2. Step 2: Convert to fraction form
    7,116.40/10,677.80 = 3,218.80/x
  3. Step 3: Cross multiply
    7,116.40x = 10,677.80 × 3,218.80
  4. Step 4: Simplify right side
    7,116.40x = 34,369,702.64
  5. Step 5: Solve for x
    x = 34,369,702.64/7,116.40
  6. Step 6: Final answer
    x = 4,829.65

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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.