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Finding the Fourth Proportional to 10,304.42, 15,444 and 5,900.45

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Solution

The fourth proportional to 10,304.42, 15,444 and 5,900.45 is: 8,843.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.42 : 15,444 = 5,900.45 : x
  2. Step 2: Convert to fraction form
    10,304.42/15,444 = 5,900.45/x
  3. Step 3: Cross multiply
    10,304.42x = 15,444 × 5,900.45
  4. Step 4: Simplify right side
    10,304.42x = 91,126,472.58
  5. Step 5: Solve for x
    x = 91,126,472.58/10,304.42
  6. Step 6: Final answer
    x = 8,843.44

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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.