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Finding the Fourth Proportional to 7,258.54, 10,878.69 and 3,926.65

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Solution

The fourth proportional to 7,258.54, 10,878.69 and 3,926.65 is: 5,885.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.54 : 10,878.69 = 3,926.65 : x
  2. Step 2: Convert to fraction form
    7,258.54/10,878.69 = 3,926.65/x
  3. Step 3: Cross multiply
    7,258.54x = 10,878.69 × 3,926.65
  4. Step 4: Simplify right side
    7,258.54x = 42,716,753.70
  5. Step 5: Solve for x
    x = 42,716,753.70/7,258.54
  6. Step 6: Final answer
    x = 5,885.04

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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.