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Finding the Fourth Proportional to 7,322.31, 10,103.00 and 4,338

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Solution

The fourth proportional to 7,322.31, 10,103.00 and 4,338 is: 5,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.31 : 10,103.00 = 4,338 : x
  2. Step 2: Convert to fraction form
    7,322.31/10,103.00 = 4,338/x
  3. Step 3: Cross multiply
    7,322.31x = 10,103.00 × 4,338
  4. Step 4: Simplify right side
    7,322.31x = 43,826,792.31
  5. Step 5: Solve for x
    x = 43,826,792.31/7,322.31
  6. Step 6: Final answer
    x = 5,985.38

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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.