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Finding the Fourth Proportional to 7,884.83, 10,885.46 and 5,758.25

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Solution

The fourth proportional to 7,884.83, 10,885.46 and 5,758.25 is: 7,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.83 : 10,885.46 = 5,758.25 : x
  2. Step 2: Convert to fraction form
    7,884.83/10,885.46 = 5,758.25/x
  3. Step 3: Cross multiply
    7,884.83x = 10,885.46 × 5,758.25
  4. Step 4: Simplify right side
    7,884.83x = 62,681,116.83
  5. Step 5: Solve for x
    x = 62,681,116.83/7,884.83
  6. Step 6: Final answer
    x = 7,949.58

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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.