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Finding the Fourth Proportional to 7,202.58, 10,805.14 and 2,458.47

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Solution

The fourth proportional to 7,202.58, 10,805.14 and 2,458.47 is: 3,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.58 : 10,805.14 = 2,458.47 : x
  2. Step 2: Convert to fraction form
    7,202.58/10,805.14 = 2,458.47/x
  3. Step 3: Cross multiply
    7,202.58x = 10,805.14 × 2,458.47
  4. Step 4: Simplify right side
    7,202.58x = 26,564,112.54
  5. Step 5: Solve for x
    x = 26,564,112.54/7,202.58
  6. Step 6: Final answer
    x = 3,688.14

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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.