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Finding the Fourth Proportional to 12,888, 17,787.96 and 7,299

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Solution

The fourth proportional to 12,888, 17,787.96 and 7,299 is: 10,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888 : 17,787.96 = 7,299 : x
  2. Step 2: Convert to fraction form
    12,888/17,787.96 = 7,299/x
  3. Step 3: Cross multiply
    12,888x = 17,787.96 × 7,299
  4. Step 4: Simplify right side
    12,888x = 129,834,320.04
  5. Step 5: Solve for x
    x = 129,834,320.04/12,888
  6. Step 6: Final answer
    x = 10,074.05

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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.