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Finding the Fourth Proportional to 7,876.59, 10,869.94 and 4,339.92

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Solution

The fourth proportional to 7,876.59, 10,869.94 and 4,339.92 is: 5,989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.59 : 10,869.94 = 4,339.92 : x
  2. Step 2: Convert to fraction form
    7,876.59/10,869.94 = 4,339.92/x
  3. Step 3: Cross multiply
    7,876.59x = 10,869.94 × 4,339.92
  4. Step 4: Simplify right side
    7,876.59x = 47,174,670.00
  5. Step 5: Solve for x
    x = 47,174,670.00/7,876.59
  6. Step 6: Final answer
    x = 5,989.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.