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Finding the Fourth Proportional to 9,853.68, 14,761.08 and 7,391.28

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Solution

The fourth proportional to 9,853.68, 14,761.08 and 7,391.28 is: 11,072.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.68 : 14,761.08 = 7,391.28 : x
  2. Step 2: Convert to fraction form
    9,853.68/14,761.08 = 7,391.28/x
  3. Step 3: Cross multiply
    9,853.68x = 14,761.08 × 7,391.28
  4. Step 4: Simplify right side
    9,853.68x = 109,103,275.38
  5. Step 5: Solve for x
    x = 109,103,275.38/9,853.68
  6. Step 6: Final answer
    x = 11,072.34

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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.