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Finding the Fourth Proportional to 6,671.12, 10,006.44 and 2,054

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Solution

The fourth proportional to 6,671.12, 10,006.44 and 2,054 is: 3,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.12 : 10,006.44 = 2,054 : x
  2. Step 2: Convert to fraction form
    6,671.12/10,006.44 = 2,054/x
  3. Step 3: Cross multiply
    6,671.12x = 10,006.44 × 2,054
  4. Step 4: Simplify right side
    6,671.12x = 20,553,227.76
  5. Step 5: Solve for x
    x = 20,553,227.76/6,671.12
  6. Step 6: Final answer
    x = 3,080.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.