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Finding the Fourth Proportional to 7,894.16, 10,893.44 and 4,357.36

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Solution

The fourth proportional to 7,894.16, 10,893.44 and 4,357.36 is: 6,012.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.16 : 10,893.44 = 4,357.36 : x
  2. Step 2: Convert to fraction form
    7,894.16/10,893.44 = 4,357.36/x
  3. Step 3: Cross multiply
    7,894.16x = 10,893.44 × 4,357.36
  4. Step 4: Simplify right side
    7,894.16x = 47,466,639.72
  5. Step 5: Solve for x
    x = 47,466,639.72/7,894.16
  6. Step 6: Final answer
    x = 6,012.88

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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.