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Finding the Fourth Proportional to 10,703.20, 14,772.72 and 6,512.80

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Solution

The fourth proportional to 10,703.20, 14,772.72 and 6,512.80 is: 8,989.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.20 : 14,772.72 = 6,512.80 : x
  2. Step 2: Convert to fraction form
    10,703.20/14,772.72 = 6,512.80/x
  3. Step 3: Cross multiply
    10,703.20x = 14,772.72 × 6,512.80
  4. Step 4: Simplify right side
    10,703.20x = 96,211,770.82
  5. Step 5: Solve for x
    x = 96,211,770.82/10,703.20
  6. Step 6: Final answer
    x = 8,989.07

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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.