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Finding the Fourth Proportional to 11,802.62, 16,287.87 and 6,497.66

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Solution

The fourth proportional to 11,802.62, 16,287.87 and 6,497.66 is: 8,966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.62 : 16,287.87 = 6,497.66 : x
  2. Step 2: Convert to fraction form
    11,802.62/16,287.87 = 6,497.66/x
  3. Step 3: Cross multiply
    11,802.62x = 16,287.87 × 6,497.66
  4. Step 4: Simplify right side
    11,802.62x = 105,833,041.38
  5. Step 5: Solve for x
    x = 105,833,041.38/11,802.62
  6. Step 6: Final answer
    x = 8,966.91

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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.