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Finding the Fourth Proportional to 8,407.82, 11,603.04 and 4,872.26

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Solution

The fourth proportional to 8,407.82, 11,603.04 and 4,872.26 is: 6,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.82 : 11,603.04 = 4,872.26 : x
  2. Step 2: Convert to fraction form
    8,407.82/11,603.04 = 4,872.26/x
  3. Step 3: Cross multiply
    8,407.82x = 11,603.04 × 4,872.26
  4. Step 4: Simplify right side
    8,407.82x = 56,533,027.67
  5. Step 5: Solve for x
    x = 56,533,027.67/8,407.82
  6. Step 6: Final answer
    x = 6,723.86

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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.