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Finding the Fourth Proportional to 11,953.31, 16,498.28 and 7,754.27

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Solution

The fourth proportional to 11,953.31, 16,498.28 and 7,754.27 is: 10,702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.31 : 16,498.28 = 7,754.27 : x
  2. Step 2: Convert to fraction form
    11,953.31/16,498.28 = 7,754.27/x
  3. Step 3: Cross multiply
    11,953.31x = 16,498.28 × 7,754.27
  4. Step 4: Simplify right side
    11,953.31x = 127,932,054.55
  5. Step 5: Solve for x
    x = 127,932,054.55/11,953.31
  6. Step 6: Final answer
    x = 10,702.65

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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.