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Finding the Fourth Proportional to 7,251.48, 10,006.56 and 4,267.89

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Solution

The fourth proportional to 7,251.48, 10,006.56 and 4,267.89 is: 5,889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251.48 : 10,006.56 = 4,267.89 : x
  2. Step 2: Convert to fraction form
    7,251.48/10,006.56 = 4,267.89/x
  3. Step 3: Cross multiply
    7,251.48x = 10,006.56 × 4,267.89
  4. Step 4: Simplify right side
    7,251.48x = 42,706,897.36
  5. Step 5: Solve for x
    x = 42,706,897.36/7,251.48
  6. Step 6: Final answer
    x = 5,889.40

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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.