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Finding the Fourth Proportional to 10,189.51, 15,278.18 and 3,523.82

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Solution

The fourth proportional to 10,189.51, 15,278.18 and 3,523.82 is: 5,283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.51 : 15,278.18 = 3,523.82 : x
  2. Step 2: Convert to fraction form
    10,189.51/15,278.18 = 3,523.82/x
  3. Step 3: Cross multiply
    10,189.51x = 15,278.18 × 3,523.82
  4. Step 4: Simplify right side
    10,189.51x = 53,837,538.63
  5. Step 5: Solve for x
    x = 53,837,538.63/10,189.51
  6. Step 6: Final answer
    x = 5,283.63

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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.