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Finding the Fourth Proportional to 10,758.84, 14,843.05 and 7,932.93

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Solution

The fourth proportional to 10,758.84, 14,843.05 and 7,932.93 is: 10,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.84 : 14,843.05 = 7,932.93 : x
  2. Step 2: Convert to fraction form
    10,758.84/14,843.05 = 7,932.93/x
  3. Step 3: Cross multiply
    10,758.84x = 14,843.05 × 7,932.93
  4. Step 4: Simplify right side
    10,758.84x = 117,748,876.64
  5. Step 5: Solve for x
    x = 117,748,876.64/10,758.84
  6. Step 6: Final answer
    x = 10,944.38

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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.