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Finding the Fourth Proportional to 8,005.17, 11,046.96 and 4,648.26

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Solution

The fourth proportional to 8,005.17, 11,046.96 and 4,648.26 is: 6,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.17 : 11,046.96 = 4,648.26 : x
  2. Step 2: Convert to fraction form
    8,005.17/11,046.96 = 4,648.26/x
  3. Step 3: Cross multiply
    8,005.17x = 11,046.96 × 4,648.26
  4. Step 4: Simplify right side
    8,005.17x = 51,349,142.29
  5. Step 5: Solve for x
    x = 51,349,142.29/8,005.17
  6. Step 6: Final answer
    x = 6,414.50

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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.