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Finding the Fourth Proportional to 7,876.14, 10,869.08 and 4,291.08

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Solution

The fourth proportional to 7,876.14, 10,869.08 and 4,291.08 is: 5,921.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.14 : 10,869.08 = 4,291.08 : x
  2. Step 2: Convert to fraction form
    7,876.14/10,869.08 = 4,291.08/x
  3. Step 3: Cross multiply
    7,876.14x = 10,869.08 × 4,291.08
  4. Step 4: Simplify right side
    7,876.14x = 46,640,091.81
  5. Step 5: Solve for x
    x = 46,640,091.81/7,876.14
  6. Step 6: Final answer
    x = 5,921.69

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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.