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Finding the Fourth Proportional to 8,324.53, 11,482.80 and 4,965.10

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Solution

The fourth proportional to 8,324.53, 11,482.80 and 4,965.10 is: 6,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.53 : 11,482.80 = 4,965.10 : x
  2. Step 2: Convert to fraction form
    8,324.53/11,482.80 = 4,965.10/x
  3. Step 3: Cross multiply
    8,324.53x = 11,482.80 × 4,965.10
  4. Step 4: Simplify right side
    8,324.53x = 57,013,250.28
  5. Step 5: Solve for x
    x = 57,013,250.28/8,324.53
  6. Step 6: Final answer
    x = 6,848.83

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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.