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Finding the Fourth Proportional to 7,267.62, 10,026.27 and 4,471.50

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Solution

The fourth proportional to 7,267.62, 10,026.27 and 4,471.50 is: 6,168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.62 : 10,026.27 = 4,471.50 : x
  2. Step 2: Convert to fraction form
    7,267.62/10,026.27 = 4,471.50/x
  3. Step 3: Cross multiply
    7,267.62x = 10,026.27 × 4,471.50
  4. Step 4: Simplify right side
    7,267.62x = 44,832,466.31
  5. Step 5: Solve for x
    x = 44,832,466.31/7,267.62
  6. Step 6: Final answer
    x = 6,168.80

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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.