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Finding the Fourth Proportional to 7,522.40, 11,293.95 and 3,827.13

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Solution

The fourth proportional to 7,522.40, 11,293.95 and 3,827.13 is: 5,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.40 : 11,293.95 = 3,827.13 : x
  2. Step 2: Convert to fraction form
    7,522.40/11,293.95 = 3,827.13/x
  3. Step 3: Cross multiply
    7,522.40x = 11,293.95 × 3,827.13
  4. Step 4: Simplify right side
    7,522.40x = 43,223,339.26
  5. Step 5: Solve for x
    x = 43,223,339.26/7,522.40
  6. Step 6: Final answer
    x = 5,745.95

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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.