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Finding the Fourth Proportional to 7,238.42, 10,058.05 and 7,209.26

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Solution

The fourth proportional to 7,238.42, 10,058.05 and 7,209.26 is: 10,017.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.42 : 10,058.05 = 7,209.26 : x
  2. Step 2: Convert to fraction form
    7,238.42/10,058.05 = 7,209.26/x
  3. Step 3: Cross multiply
    7,238.42x = 10,058.05 × 7,209.26
  4. Step 4: Simplify right side
    7,238.42x = 72,511,061.50
  5. Step 5: Solve for x
    x = 72,511,061.50/7,238.42
  6. Step 6: Final answer
    x = 10,017.53

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.