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Finding the Fourth Proportional to 11,605.77, 17,408.91 and 2,840.76

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Solution

The fourth proportional to 11,605.77, 17,408.91 and 2,840.76 is: 4,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.77 : 17,408.91 = 2,840.76 : x
  2. Step 2: Convert to fraction form
    11,605.77/17,408.91 = 2,840.76/x
  3. Step 3: Cross multiply
    11,605.77x = 17,408.91 × 2,840.76
  4. Step 4: Simplify right side
    11,605.77x = 49,454,535.17
  5. Step 5: Solve for x
    x = 49,454,535.17/11,605.77
  6. Step 6: Final answer
    x = 4,261.20

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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.