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Finding the Fourth Proportional to 8,408.16, 11,603.44 and 4,682.40

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Solution

The fourth proportional to 8,408.16, 11,603.44 and 4,682.40 is: 6,461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.16 : 11,603.44 = 4,682.40 : x
  2. Step 2: Convert to fraction form
    8,408.16/11,603.44 = 4,682.40/x
  3. Step 3: Cross multiply
    8,408.16x = 11,603.44 × 4,682.40
  4. Step 4: Simplify right side
    8,408.16x = 54,331,947.46
  5. Step 5: Solve for x
    x = 54,331,947.46/8,408.16
  6. Step 6: Final answer
    x = 6,461.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.