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Finding the Fourth Proportional to 10,275.33, 15,403.74 and 3,696.89

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Solution

The fourth proportional to 10,275.33, 15,403.74 and 3,696.89 is: 5,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.33 : 15,403.74 = 3,696.89 : x
  2. Step 2: Convert to fraction form
    10,275.33/15,403.74 = 3,696.89/x
  3. Step 3: Cross multiply
    10,275.33x = 15,403.74 × 3,696.89
  4. Step 4: Simplify right side
    10,275.33x = 56,945,959.33
  5. Step 5: Solve for x
    x = 56,945,959.33/10,275.33
  6. Step 6: Final answer
    x = 5,542.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.