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Finding the Fourth Proportional to 10,702.78, 16,127.27 and 8,797.66

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Solution

The fourth proportional to 10,702.78, 16,127.27 and 8,797.66 is: 13,256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.78 : 16,127.27 = 8,797.66 : x
  2. Step 2: Convert to fraction form
    10,702.78/16,127.27 = 8,797.66/x
  3. Step 3: Cross multiply
    10,702.78x = 16,127.27 × 8,797.66
  4. Step 4: Simplify right side
    10,702.78x = 141,882,238.19
  5. Step 5: Solve for x
    x = 141,882,238.19/10,702.78
  6. Step 6: Final answer
    x = 13,256.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.