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Finding the Fourth Proportional to 7,535.58, 10,399.17 and 4,178.44

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Solution

The fourth proportional to 7,535.58, 10,399.17 and 4,178.44 is: 5,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.58 : 10,399.17 = 4,178.44 : x
  2. Step 2: Convert to fraction form
    7,535.58/10,399.17 = 4,178.44/x
  3. Step 3: Cross multiply
    7,535.58x = 10,399.17 × 4,178.44
  4. Step 4: Simplify right side
    7,535.58x = 43,452,307.89
  5. Step 5: Solve for x
    x = 43,452,307.89/7,535.58
  6. Step 6: Final answer
    x = 5,766.29

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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.