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Finding the Fourth Proportional to 10,699.84, 16,049.28 and 3,304

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Solution

The fourth proportional to 10,699.84, 16,049.28 and 3,304 is: 4,955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.84 : 16,049.28 = 3,304 : x
  2. Step 2: Convert to fraction form
    10,699.84/16,049.28 = 3,304/x
  3. Step 3: Cross multiply
    10,699.84x = 16,049.28 × 3,304
  4. Step 4: Simplify right side
    10,699.84x = 53,026,821.12
  5. Step 5: Solve for x
    x = 53,026,821.12/10,699.84
  6. Step 6: Final answer
    x = 4,955.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.