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Finding the Fourth Proportional to 7,387.08, 10,202.40 and 5,728.50

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Solution

The fourth proportional to 7,387.08, 10,202.40 and 5,728.50 is: 7,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.08 : 10,202.40 = 5,728.50 : x
  2. Step 2: Convert to fraction form
    7,387.08/10,202.40 = 5,728.50/x
  3. Step 3: Cross multiply
    7,387.08x = 10,202.40 × 5,728.50
  4. Step 4: Simplify right side
    7,387.08x = 58,444,448.40
  5. Step 5: Solve for x
    x = 58,444,448.40/7,387.08
  6. Step 6: Final answer
    x = 7,911.71

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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.