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Finding the Fourth Proportional to 7,232.01, 10,839.15 and 4,114.63

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Solution

The fourth proportional to 7,232.01, 10,839.15 and 4,114.63 is: 6,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.01 : 10,839.15 = 4,114.63 : x
  2. Step 2: Convert to fraction form
    7,232.01/10,839.15 = 4,114.63/x
  3. Step 3: Cross multiply
    7,232.01x = 10,839.15 × 4,114.63
  4. Step 4: Simplify right side
    7,232.01x = 44,599,091.76
  5. Step 5: Solve for x
    x = 44,599,091.76/7,232.01
  6. Step 6: Final answer
    x = 6,166.90

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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.