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Finding the Fourth Proportional to 7,868.72, 10,858.38 and 4,331.46

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Solution

The fourth proportional to 7,868.72, 10,858.38 and 4,331.46 is: 5,977.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.72 : 10,858.38 = 4,331.46 : x
  2. Step 2: Convert to fraction form
    7,868.72/10,858.38 = 4,331.46/x
  3. Step 3: Cross multiply
    7,868.72x = 10,858.38 × 4,331.46
  4. Step 4: Simplify right side
    7,868.72x = 47,032,638.63
  5. Step 5: Solve for x
    x = 47,032,638.63/7,868.72
  6. Step 6: Final answer
    x = 5,977.17

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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.