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Finding the Fourth Proportional to 7,242.66, 10,830.78 and 5,395.05

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Solution

The fourth proportional to 7,242.66, 10,830.78 and 5,395.05 is: 8,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.66 : 10,830.78 = 5,395.05 : x
  2. Step 2: Convert to fraction form
    7,242.66/10,830.78 = 5,395.05/x
  3. Step 3: Cross multiply
    7,242.66x = 10,830.78 × 5,395.05
  4. Step 4: Simplify right side
    7,242.66x = 58,432,599.64
  5. Step 5: Solve for x
    x = 58,432,599.64/7,242.66
  6. Step 6: Final answer
    x = 8,067.84

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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.