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Finding the Fourth Proportional to 10,706.96, 14,772.02 and 6,229.76

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Solution

The fourth proportional to 10,706.96, 14,772.02 and 6,229.76 is: 8,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.96 : 14,772.02 = 6,229.76 : x
  2. Step 2: Convert to fraction form
    10,706.96/14,772.02 = 6,229.76/x
  3. Step 3: Cross multiply
    10,706.96x = 14,772.02 × 6,229.76
  4. Step 4: Simplify right side
    10,706.96x = 92,026,139.32
  5. Step 5: Solve for x
    x = 92,026,139.32/10,706.96
  6. Step 6: Final answer
    x = 8,594.98

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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.