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Finding the Fourth Proportional to 7,871.73, 10,862.82 and 4,335

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Solution

The fourth proportional to 7,871.73, 10,862.82 and 4,335 is: 5,982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.73 : 10,862.82 = 4,335 : x
  2. Step 2: Convert to fraction form
    7,871.73/10,862.82 = 4,335/x
  3. Step 3: Cross multiply
    7,871.73x = 10,862.82 × 4,335
  4. Step 4: Simplify right side
    7,871.73x = 47,090,324.70
  5. Step 5: Solve for x
    x = 47,090,324.70/7,871.73
  6. Step 6: Final answer
    x = 5,982.21

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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.