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Finding the Fourth Proportional to 11,582, 15,996.36 and 7,849.52

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Solution

The fourth proportional to 11,582, 15,996.36 and 7,849.52 is: 10,841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582 : 15,996.36 = 7,849.52 : x
  2. Step 2: Convert to fraction form
    11,582/15,996.36 = 7,849.52/x
  3. Step 3: Cross multiply
    11,582x = 15,996.36 × 7,849.52
  4. Step 4: Simplify right side
    11,582x = 125,563,747.75
  5. Step 5: Solve for x
    x = 125,563,747.75/11,582
  6. Step 6: Final answer
    x = 10,841.28

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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.