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Finding the Fourth Proportional to 7,964.58, 10,997.56 and 7,123.80

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Solution

The fourth proportional to 7,964.58, 10,997.56 and 7,123.80 is: 9,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.58 : 10,997.56 = 7,123.80 : x
  2. Step 2: Convert to fraction form
    7,964.58/10,997.56 = 7,123.80/x
  3. Step 3: Cross multiply
    7,964.58x = 10,997.56 × 7,123.80
  4. Step 4: Simplify right side
    7,964.58x = 78,344,417.93
  5. Step 5: Solve for x
    x = 78,344,417.93/7,964.58
  6. Step 6: Final answer
    x = 9,836.60

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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.