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Finding the Fourth Proportional to 10,702.94, 16,053.80 and 6,348.07

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Solution

The fourth proportional to 10,702.94, 16,053.80 and 6,348.07 is: 9,521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.94 : 16,053.80 = 6,348.07 : x
  2. Step 2: Convert to fraction form
    10,702.94/16,053.80 = 6,348.07/x
  3. Step 3: Cross multiply
    10,702.94x = 16,053.80 × 6,348.07
  4. Step 4: Simplify right side
    10,702.94x = 101,910,634.49
  5. Step 5: Solve for x
    x = 101,910,634.49/10,702.94
  6. Step 6: Final answer
    x = 9,521.75

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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.