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Finding the Fourth Proportional to 7,402.49, 11,109.62 and 3,894.55

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Solution

The fourth proportional to 7,402.49, 11,109.62 and 3,894.55 is: 5,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.49 : 11,109.62 = 3,894.55 : x
  2. Step 2: Convert to fraction form
    7,402.49/11,109.62 = 3,894.55/x
  3. Step 3: Cross multiply
    7,402.49x = 11,109.62 × 3,894.55
  4. Step 4: Simplify right side
    7,402.49x = 43,266,952.53
  5. Step 5: Solve for x
    x = 43,266,952.53/7,402.49
  6. Step 6: Final answer
    x = 5,844.92

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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.