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Finding the Fourth Proportional to 7,742.70, 11,555.53 and 6,995.36

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Solution

The fourth proportional to 7,742.70, 11,555.53 and 6,995.36 is: 10,440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.70 : 11,555.53 = 6,995.36 : x
  2. Step 2: Convert to fraction form
    7,742.70/11,555.53 = 6,995.36/x
  3. Step 3: Cross multiply
    7,742.70x = 11,555.53 × 6,995.36
  4. Step 4: Simplify right side
    7,742.70x = 80,835,034.56
  5. Step 5: Solve for x
    x = 80,835,034.56/7,742.70
  6. Step 6: Final answer
    x = 10,440.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.