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Finding the Fourth Proportional to 10,009.25, 13,812.77 and 5,593.25

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Solution

The fourth proportional to 10,009.25, 13,812.77 and 5,593.25 is: 7,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.25 : 13,812.77 = 5,593.25 : x
  2. Step 2: Convert to fraction form
    10,009.25/13,812.77 = 5,593.25/x
  3. Step 3: Cross multiply
    10,009.25x = 13,812.77 × 5,593.25
  4. Step 4: Simplify right side
    10,009.25x = 77,258,275.80
  5. Step 5: Solve for x
    x = 77,258,275.80/10,009.25
  6. Step 6: Final answer
    x = 7,718.69

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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.