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Finding the Fourth Proportional to 10,217.76, 14,106.96 and 7,072.80

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Solution

The fourth proportional to 10,217.76, 14,106.96 and 7,072.80 is: 9,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.76 : 14,106.96 = 7,072.80 : x
  2. Step 2: Convert to fraction form
    10,217.76/14,106.96 = 7,072.80/x
  3. Step 3: Cross multiply
    10,217.76x = 14,106.96 × 7,072.80
  4. Step 4: Simplify right side
    10,217.76x = 99,775,706.69
  5. Step 5: Solve for x
    x = 99,775,706.69/10,217.76
  6. Step 6: Final answer
    x = 9,764.93

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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.