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Finding the Fourth Proportional to 7,876.47, 10,869.39 and 4,339.65

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Solution

The fourth proportional to 7,876.47, 10,869.39 and 4,339.65 is: 5,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.47 : 10,869.39 = 4,339.65 : x
  2. Step 2: Convert to fraction form
    7,876.47/10,869.39 = 4,339.65/x
  3. Step 3: Cross multiply
    7,876.47x = 10,869.39 × 4,339.65
  4. Step 4: Simplify right side
    7,876.47x = 47,169,348.31
  5. Step 5: Solve for x
    x = 47,169,348.31/7,876.47
  6. Step 6: Final answer
    x = 5,988.64

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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.