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Finding the Fourth Proportional to 10,001.40, 13,802.52 and 5,753.82

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Solution

The fourth proportional to 10,001.40, 13,802.52 and 5,753.82 is: 7,940.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.40 : 13,802.52 = 5,753.82 : x
  2. Step 2: Convert to fraction form
    10,001.40/13,802.52 = 5,753.82/x
  3. Step 3: Cross multiply
    10,001.40x = 13,802.52 × 5,753.82
  4. Step 4: Simplify right side
    10,001.40x = 79,417,215.63
  5. Step 5: Solve for x
    x = 79,417,215.63/10,001.40
  6. Step 6: Final answer
    x = 7,940.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.