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Finding the Fourth Proportional to 7,116.56, 9,820.92 and 3,972.80

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Solution

The fourth proportional to 7,116.56, 9,820.92 and 3,972.80 is: 5,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.56 : 9,820.92 = 3,972.80 : x
  2. Step 2: Convert to fraction form
    7,116.56/9,820.92 = 3,972.80/x
  3. Step 3: Cross multiply
    7,116.56x = 9,820.92 × 3,972.80
  4. Step 4: Simplify right side
    7,116.56x = 39,016,550.98
  5. Step 5: Solve for x
    x = 39,016,550.98/7,116.56
  6. Step 6: Final answer
    x = 5,482.50

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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.