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Finding the Fourth Proportional to 8,032.72, 11,084.94 and 4,496.32

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Solution

The fourth proportional to 8,032.72, 11,084.94 and 4,496.32 is: 6,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.72 : 11,084.94 = 4,496.32 : x
  2. Step 2: Convert to fraction form
    8,032.72/11,084.94 = 4,496.32/x
  3. Step 3: Cross multiply
    8,032.72x = 11,084.94 × 4,496.32
  4. Step 4: Simplify right side
    8,032.72x = 49,841,437.42
  5. Step 5: Solve for x
    x = 49,841,437.42/8,032.72
  6. Step 6: Final answer
    x = 6,204.80

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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.