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Finding the Fourth Proportional to 10,894.24, 15,034.62 and 8,237.08

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Solution

The fourth proportional to 10,894.24, 15,034.62 and 8,237.08 is: 11,367.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.24 : 15,034.62 = 8,237.08 : x
  2. Step 2: Convert to fraction form
    10,894.24/15,034.62 = 8,237.08/x
  3. Step 3: Cross multiply
    10,894.24x = 15,034.62 × 8,237.08
  4. Step 4: Simplify right side
    10,894.24x = 123,841,367.71
  5. Step 5: Solve for x
    x = 123,841,367.71/10,894.24
  6. Step 6: Final answer
    x = 11,367.60

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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.