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Finding the Fourth Proportional to 7,152.84, 10,726.56 and 4,231.98

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Solution

The fourth proportional to 7,152.84, 10,726.56 and 4,231.98 is: 6,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.84 : 10,726.56 = 4,231.98 : x
  2. Step 2: Convert to fraction form
    7,152.84/10,726.56 = 4,231.98/x
  3. Step 3: Cross multiply
    7,152.84x = 10,726.56 × 4,231.98
  4. Step 4: Simplify right side
    7,152.84x = 45,394,587.39
  5. Step 5: Solve for x
    x = 45,394,587.39/7,152.84
  6. Step 6: Final answer
    x = 6,346.37

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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.