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Finding the Fourth Proportional to 8,002.49, 11,043.52 and 4,465.63

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Solution

The fourth proportional to 8,002.49, 11,043.52 and 4,465.63 is: 6,162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.49 : 11,043.52 = 4,465.63 : x
  2. Step 2: Convert to fraction form
    8,002.49/11,043.52 = 4,465.63/x
  3. Step 3: Cross multiply
    8,002.49x = 11,043.52 × 4,465.63
  4. Step 4: Simplify right side
    8,002.49x = 49,316,219
  5. Step 5: Solve for x
    x = 49,316,219/8,002.49
  6. Step 6: Final answer
    x = 6,162.61

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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.