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Finding the Fourth Proportional to 10,191.84, 15,288.75 and 3,616.49

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Solution

The fourth proportional to 10,191.84, 15,288.75 and 3,616.49 is: 5,425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.84 : 15,288.75 = 3,616.49 : x
  2. Step 2: Convert to fraction form
    10,191.84/15,288.75 = 3,616.49/x
  3. Step 3: Cross multiply
    10,191.84x = 15,288.75 × 3,616.49
  4. Step 4: Simplify right side
    10,191.84x = 55,291,535.04
  5. Step 5: Solve for x
    x = 55,291,535.04/10,191.84
  6. Step 6: Final answer
    x = 5,425.08

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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.