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Finding the Fourth Proportional to 8,001.55, 11,042.12 and 4,646.33

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Solution

The fourth proportional to 8,001.55, 11,042.12 and 4,646.33 is: 6,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.55 : 11,042.12 = 4,646.33 : x
  2. Step 2: Convert to fraction form
    8,001.55/11,042.12 = 4,646.33/x
  3. Step 3: Cross multiply
    8,001.55x = 11,042.12 × 4,646.33
  4. Step 4: Simplify right side
    8,001.55x = 51,305,331.23
  5. Step 5: Solve for x
    x = 51,305,331.23/8,001.55
  6. Step 6: Final answer
    x = 6,411.92

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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.