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Finding the Fourth Proportional to 8,005.35, 11,047.20 and 4,648.07

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Solution

The fourth proportional to 8,005.35, 11,047.20 and 4,648.07 is: 6,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.35 : 11,047.20 = 4,648.07 : x
  2. Step 2: Convert to fraction form
    8,005.35/11,047.20 = 4,648.07/x
  3. Step 3: Cross multiply
    8,005.35x = 11,047.20 × 4,648.07
  4. Step 4: Simplify right side
    8,005.35x = 51,348,169.09
  5. Step 5: Solve for x
    x = 51,348,169.09/8,005.35
  6. Step 6: Final answer
    x = 6,414.23

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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.