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Finding the Fourth Proportional to 8,497, 11,725.93 and 4,959.52

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Solution

The fourth proportional to 8,497, 11,725.93 and 4,959.52 is: 6,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497 : 11,725.93 = 4,959.52 : x
  2. Step 2: Convert to fraction form
    8,497/11,725.93 = 4,959.52/x
  3. Step 3: Cross multiply
    8,497x = 11,725.93 × 4,959.52
  4. Step 4: Simplify right side
    8,497x = 58,154,984.35
  5. Step 5: Solve for x
    x = 58,154,984.35/8,497
  6. Step 6: Final answer
    x = 6,844.18

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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.