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Finding the Fourth Proportional to 8,253.69, 12,364.02 and 4,964.97

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Solution

The fourth proportional to 8,253.69, 12,364.02 and 4,964.97 is: 7,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.69 : 12,364.02 = 4,964.97 : x
  2. Step 2: Convert to fraction form
    8,253.69/12,364.02 = 4,964.97/x
  3. Step 3: Cross multiply
    8,253.69x = 12,364.02 × 4,964.97
  4. Step 4: Simplify right side
    8,253.69x = 61,386,988.38
  5. Step 5: Solve for x
    x = 61,386,988.38/8,253.69
  6. Step 6: Final answer
    x = 7,437.52

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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.