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Finding the Fourth Proportional to 7,863.94, 10,852.14 and 4,279.00

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Solution

The fourth proportional to 7,863.94, 10,852.14 and 4,279.00 is: 5,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.94 : 10,852.14 = 4,279.00 : x
  2. Step 2: Convert to fraction form
    7,863.94/10,852.14 = 4,279.00/x
  3. Step 3: Cross multiply
    7,863.94x = 10,852.14 × 4,279.00
  4. Step 4: Simplify right side
    7,863.94x = 46,436,316.32
  5. Step 5: Solve for x
    x = 46,436,316.32/7,863.94
  6. Step 6: Final answer
    x = 5,904.97

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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.