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Finding the Fourth Proportional to 10,102.97, 15,160.94 and 4,906.01

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Solution

The fourth proportional to 10,102.97, 15,160.94 and 4,906.01 is: 7,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.97 : 15,160.94 = 4,906.01 : x
  2. Step 2: Convert to fraction form
    10,102.97/15,160.94 = 4,906.01/x
  3. Step 3: Cross multiply
    10,102.97x = 15,160.94 × 4,906.01
  4. Step 4: Simplify right side
    10,102.97x = 74,379,622.91
  5. Step 5: Solve for x
    x = 74,379,622.91/10,102.97
  6. Step 6: Final answer
    x = 7,362.16

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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.