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Finding the Fourth Proportional to 10,107.68, 15,162.96 and 4,910

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Solution

The fourth proportional to 10,107.68, 15,162.96 and 4,910 is: 7,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.68 : 15,162.96 = 4,910 : x
  2. Step 2: Convert to fraction form
    10,107.68/15,162.96 = 4,910/x
  3. Step 3: Cross multiply
    10,107.68x = 15,162.96 × 4,910
  4. Step 4: Simplify right side
    10,107.68x = 74,450,133.60
  5. Step 5: Solve for x
    x = 74,450,133.60/10,107.68
  6. Step 6: Final answer
    x = 7,365.70

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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.