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Finding the Fourth Proportional to 6,711.82, 10,018.63 and 6,223.93

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Solution

The fourth proportional to 6,711.82, 10,018.63 and 6,223.93 is: 9,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.82 : 10,018.63 = 6,223.93 : x
  2. Step 2: Convert to fraction form
    6,711.82/10,018.63 = 6,223.93/x
  3. Step 3: Cross multiply
    6,711.82x = 10,018.63 × 6,223.93
  4. Step 4: Simplify right side
    6,711.82x = 62,355,251.82
  5. Step 5: Solve for x
    x = 62,355,251.82/6,711.82
  6. Step 6: Final answer
    x = 9,290.36

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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.