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Finding the Fourth Proportional to 7,695, 11,534.40 and 5,497.20

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Solution

The fourth proportional to 7,695, 11,534.40 and 5,497.20 is: 8,240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695 : 11,534.40 = 5,497.20 : x
  2. Step 2: Convert to fraction form
    7,695/11,534.40 = 5,497.20/x
  3. Step 3: Cross multiply
    7,695x = 11,534.40 × 5,497.20
  4. Step 4: Simplify right side
    7,695x = 63,406,903.68
  5. Step 5: Solve for x
    x = 63,406,903.68/7,695
  6. Step 6: Final answer
    x = 8,240.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.