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Finding the Fourth Proportional to 8,282.12, 11,420.34 and 5,482.76

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Solution

The fourth proportional to 8,282.12, 11,420.34 and 5,482.76 is: 7,560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.12 : 11,420.34 = 5,482.76 : x
  2. Step 2: Convert to fraction form
    8,282.12/11,420.34 = 5,482.76/x
  3. Step 3: Cross multiply
    8,282.12x = 11,420.34 × 5,482.76
  4. Step 4: Simplify right side
    8,282.12x = 62,614,983.34
  5. Step 5: Solve for x
    x = 62,614,983.34/8,282.12
  6. Step 6: Final answer
    x = 7,560.26

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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.