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Finding the Fourth Proportional to 7,258.74, 10,890 and 2,065.02

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Solution

The fourth proportional to 7,258.74, 10,890 and 2,065.02 is: 3,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.74 : 10,890 = 2,065.02 : x
  2. Step 2: Convert to fraction form
    7,258.74/10,890 = 2,065.02/x
  3. Step 3: Cross multiply
    7,258.74x = 10,890 × 2,065.02
  4. Step 4: Simplify right side
    7,258.74x = 22,488,067.80
  5. Step 5: Solve for x
    x = 22,488,067.80/7,258.74
  6. Step 6: Final answer
    x = 3,098.07

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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.