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Finding the Fourth Proportional to 10,001.94, 13,802.25 and 5,752.68

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Solution

The fourth proportional to 10,001.94, 13,802.25 and 5,752.68 is: 7,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.94 : 13,802.25 = 5,752.68 : x
  2. Step 2: Convert to fraction form
    10,001.94/13,802.25 = 5,752.68/x
  3. Step 3: Cross multiply
    10,001.94x = 13,802.25 × 5,752.68
  4. Step 4: Simplify right side
    10,001.94x = 79,399,858.52
  5. Step 5: Solve for x
    x = 79,399,858.52/10,001.94
  6. Step 6: Final answer
    x = 7,938.45

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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.