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Finding the Fourth Proportional to 8,698.52, 11,983.70 and 7,117.40

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Solution

The fourth proportional to 8,698.52, 11,983.70 and 7,117.40 is: 9,805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.52 : 11,983.70 = 7,117.40 : x
  2. Step 2: Convert to fraction form
    8,698.52/11,983.70 = 7,117.40/x
  3. Step 3: Cross multiply
    8,698.52x = 11,983.70 × 7,117.40
  4. Step 4: Simplify right side
    8,698.52x = 85,292,786.38
  5. Step 5: Solve for x
    x = 85,292,786.38/8,698.52
  6. Step 6: Final answer
    x = 9,805.44

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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.