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Finding the Fourth Proportional to 10,702.35, 14,766.86 and 6,722.01

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Solution

The fourth proportional to 10,702.35, 14,766.86 and 6,722.01 is: 9,274.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.35 : 14,766.86 = 6,722.01 : x
  2. Step 2: Convert to fraction form
    10,702.35/14,766.86 = 6,722.01/x
  3. Step 3: Cross multiply
    10,702.35x = 14,766.86 × 6,722.01
  4. Step 4: Simplify right side
    10,702.35x = 99,262,997.39
  5. Step 5: Solve for x
    x = 99,262,997.39/10,702.35
  6. Step 6: Final answer
    x = 9,274.88

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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.