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Finding the Fourth Proportional to 8,032.22, 11,084.82 and 4,495.76

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Solution

The fourth proportional to 8,032.22, 11,084.82 and 4,495.76 is: 6,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.22 : 11,084.82 = 4,495.76 : x
  2. Step 2: Convert to fraction form
    8,032.22/11,084.82 = 4,495.76/x
  3. Step 3: Cross multiply
    8,032.22x = 11,084.82 × 4,495.76
  4. Step 4: Simplify right side
    8,032.22x = 49,834,690.36
  5. Step 5: Solve for x
    x = 49,834,690.36/8,032.22
  6. Step 6: Final answer
    x = 6,204.35

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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.