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Finding the Fourth Proportional to 7,605.24, 11,408.04 and 2,411.16

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Solution

The fourth proportional to 7,605.24, 11,408.04 and 2,411.16 is: 3,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.24 : 11,408.04 = 2,411.16 : x
  2. Step 2: Convert to fraction form
    7,605.24/11,408.04 = 2,411.16/x
  3. Step 3: Cross multiply
    7,605.24x = 11,408.04 × 2,411.16
  4. Step 4: Simplify right side
    7,605.24x = 27,506,609.73
  5. Step 5: Solve for x
    x = 27,506,609.73/7,605.24
  6. Step 6: Final answer
    x = 3,616.80

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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.