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Finding the Fourth Proportional to 8,003.26, 11,044.50 and 4,646.76

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Solution

The fourth proportional to 8,003.26, 11,044.50 and 4,646.76 is: 6,412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.26 : 11,044.50 = 4,646.76 : x
  2. Step 2: Convert to fraction form
    8,003.26/11,044.50 = 4,646.76/x
  3. Step 3: Cross multiply
    8,003.26x = 11,044.50 × 4,646.76
  4. Step 4: Simplify right side
    8,003.26x = 51,321,140.82
  5. Step 5: Solve for x
    x = 51,321,140.82/8,003.26
  6. Step 6: Final answer
    x = 6,412.53

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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.