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Finding the Fourth Proportional to 7,896.08, 11,841.72 and 3,278

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Solution

The fourth proportional to 7,896.08, 11,841.72 and 3,278 is: 4,916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.08 : 11,841.72 = 3,278 : x
  2. Step 2: Convert to fraction form
    7,896.08/11,841.72 = 3,278/x
  3. Step 3: Cross multiply
    7,896.08x = 11,841.72 × 3,278
  4. Step 4: Simplify right side
    7,896.08x = 38,817,158.16
  5. Step 5: Solve for x
    x = 38,817,158.16/7,896.08
  6. Step 6: Final answer
    x = 4,916.00

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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.