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Finding the Fourth Proportional to 12,358.84, 17,051 and 7,049.84

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Solution

The fourth proportional to 12,358.84, 17,051 and 7,049.84 is: 9,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.84 : 17,051 = 7,049.84 : x
  2. Step 2: Convert to fraction form
    12,358.84/17,051 = 7,049.84/x
  3. Step 3: Cross multiply
    12,358.84x = 17,051 × 7,049.84
  4. Step 4: Simplify right side
    12,358.84x = 120,206,821.84
  5. Step 5: Solve for x
    x = 120,206,821.84/12,358.84
  6. Step 6: Final answer
    x = 9,726.38

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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.