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Finding the Fourth Proportional to 8,032.54, 11,085.18 and 4,496.08

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Solution

The fourth proportional to 8,032.54, 11,085.18 and 4,496.08 is: 6,204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.54 : 11,085.18 = 4,496.08 : x
  2. Step 2: Convert to fraction form
    8,032.54/11,085.18 = 4,496.08/x
  3. Step 3: Cross multiply
    8,032.54x = 11,085.18 × 4,496.08
  4. Step 4: Simplify right side
    8,032.54x = 49,839,856.09
  5. Step 5: Solve for x
    x = 49,839,856.09/8,032.54
  6. Step 6: Final answer
    x = 6,204.74

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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.