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Finding the Fourth Proportional to 10,708.46, 14,770.05 and 6,516.98

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Solution

The fourth proportional to 10,708.46, 14,770.05 and 6,516.98 is: 8,988.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.46 : 14,770.05 = 6,516.98 : x
  2. Step 2: Convert to fraction form
    10,708.46/14,770.05 = 6,516.98/x
  3. Step 3: Cross multiply
    10,708.46x = 14,770.05 × 6,516.98
  4. Step 4: Simplify right side
    10,708.46x = 96,256,120.45
  5. Step 5: Solve for x
    x = 96,256,120.45/10,708.46
  6. Step 6: Final answer
    x = 8,988.79

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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.