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Finding the Fourth Proportional to 11,523.84, 15,902.82 and 7,332

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Solution

The fourth proportional to 11,523.84, 15,902.82 and 7,332 is: 10,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.84 : 15,902.82 = 7,332 : x
  2. Step 2: Convert to fraction form
    11,523.84/15,902.82 = 7,332/x
  3. Step 3: Cross multiply
    11,523.84x = 15,902.82 × 7,332
  4. Step 4: Simplify right side
    11,523.84x = 116,599,476.24
  5. Step 5: Solve for x
    x = 116,599,476.24/11,523.84
  6. Step 6: Final answer
    x = 10,118.11

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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.