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Finding the Fourth Proportional to 7,258.66, 10,892.84 and 2,641.66

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Solution

The fourth proportional to 7,258.66, 10,892.84 and 2,641.66 is: 3,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.66 : 10,892.84 = 2,641.66 : x
  2. Step 2: Convert to fraction form
    7,258.66/10,892.84 = 2,641.66/x
  3. Step 3: Cross multiply
    7,258.66x = 10,892.84 × 2,641.66
  4. Step 4: Simplify right side
    7,258.66x = 28,775,139.27
  5. Step 5: Solve for x
    x = 28,775,139.27/7,258.66
  6. Step 6: Final answer
    x = 3,964.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.