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Finding the Fourth Proportional to 7,894.72, 11,843.52 and 5,322.88

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Solution

The fourth proportional to 7,894.72, 11,843.52 and 5,322.88 is: 7,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.72 : 11,843.52 = 5,322.88 : x
  2. Step 2: Convert to fraction form
    7,894.72/11,843.52 = 5,322.88/x
  3. Step 3: Cross multiply
    7,894.72x = 11,843.52 × 5,322.88
  4. Step 4: Simplify right side
    7,894.72x = 63,041,635.74
  5. Step 5: Solve for x
    x = 63,041,635.74/7,894.72
  6. Step 6: Final answer
    x = 7,985.29

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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.