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Finding the Fourth Proportional to 8,002.90, 11,043.59 and 4,465.43

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Solution

The fourth proportional to 8,002.90, 11,043.59 and 4,465.43 is: 6,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.90 : 11,043.59 = 4,465.43 : x
  2. Step 2: Convert to fraction form
    8,002.90/11,043.59 = 4,465.43/x
  3. Step 3: Cross multiply
    8,002.90x = 11,043.59 × 4,465.43
  4. Step 4: Simplify right side
    8,002.90x = 49,314,378.09
  5. Step 5: Solve for x
    x = 49,314,378.09/8,002.90
  6. Step 6: Final answer
    x = 6,162.06

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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.