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Finding the Fourth Proportional to 7,871.36, 10,862.07 and 4,334.50

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Solution

The fourth proportional to 7,871.36, 10,862.07 and 4,334.50 is: 5,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.36 : 10,862.07 = 4,334.50 : x
  2. Step 2: Convert to fraction form
    7,871.36/10,862.07 = 4,334.50/x
  3. Step 3: Cross multiply
    7,871.36x = 10,862.07 × 4,334.50
  4. Step 4: Simplify right side
    7,871.36x = 47,081,642.42
  5. Step 5: Solve for x
    x = 47,081,642.42/7,871.36
  6. Step 6: Final answer
    x = 5,981.39

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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.