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Finding the Fourth Proportional to 7,326.57, 10,102.14 and 5,338.02

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Solution

The fourth proportional to 7,326.57, 10,102.14 and 5,338.02 is: 7,360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,326.57 : 10,102.14 = 5,338.02 : x
  2. Step 2: Convert to fraction form
    7,326.57/10,102.14 = 5,338.02/x
  3. Step 3: Cross multiply
    7,326.57x = 10,102.14 × 5,338.02
  4. Step 4: Simplify right side
    7,326.57x = 53,925,425.36
  5. Step 5: Solve for x
    x = 53,925,425.36/7,326.57
  6. Step 6: Final answer
    x = 7,360.26

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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.