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Finding the Fourth Proportional to 7,857.47, 10,841.96 and 4,454.33

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Solution

The fourth proportional to 7,857.47, 10,841.96 and 4,454.33 is: 6,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.47 : 10,841.96 = 4,454.33 : x
  2. Step 2: Convert to fraction form
    7,857.47/10,841.96 = 4,454.33/x
  3. Step 3: Cross multiply
    7,857.47x = 10,841.96 × 4,454.33
  4. Step 4: Simplify right side
    7,857.47x = 48,293,624.61
  5. Step 5: Solve for x
    x = 48,293,624.61/7,857.47
  6. Step 6: Final answer
    x = 6,146.20

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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.