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Finding the Fourth Proportional to 7,878.24, 10,873.82 and 4,896.32

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Solution

The fourth proportional to 7,878.24, 10,873.82 and 4,896.32 is: 6,758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.24 : 10,873.82 = 4,896.32 : x
  2. Step 2: Convert to fraction form
    7,878.24/10,873.82 = 4,896.32/x
  3. Step 3: Cross multiply
    7,878.24x = 10,873.82 × 4,896.32
  4. Step 4: Simplify right side
    7,878.24x = 53,241,702.34
  5. Step 5: Solve for x
    x = 53,241,702.34/7,878.24
  6. Step 6: Final answer
    x = 6,758.07

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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.