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Finding the Fourth Proportional to 7,868.08, 10,862.49 and 5,219.11

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Solution

The fourth proportional to 7,868.08, 10,862.49 and 5,219.11 is: 7,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.08 : 10,862.49 = 5,219.11 : x
  2. Step 2: Convert to fraction form
    7,868.08/10,862.49 = 5,219.11/x
  3. Step 3: Cross multiply
    7,868.08x = 10,862.49 × 5,219.11
  4. Step 4: Simplify right side
    7,868.08x = 56,692,530.18
  5. Step 5: Solve for x
    x = 56,692,530.18/7,868.08
  6. Step 6: Final answer
    x = 7,205.38

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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.