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Finding the Fourth Proportional to 7,415.34, 10,232.01 and 4,270.92

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Solution

The fourth proportional to 7,415.34, 10,232.01 and 4,270.92 is: 5,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.34 : 10,232.01 = 4,270.92 : x
  2. Step 2: Convert to fraction form
    7,415.34/10,232.01 = 4,270.92/x
  3. Step 3: Cross multiply
    7,415.34x = 10,232.01 × 4,270.92
  4. Step 4: Simplify right side
    7,415.34x = 43,700,096.15
  5. Step 5: Solve for x
    x = 43,700,096.15/7,415.34
  6. Step 6: Final answer
    x = 5,893.20

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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.