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Finding the Fourth Proportional to 10,162.75, 15,228.38 and 7,048.81

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Solution

The fourth proportional to 10,162.75, 15,228.38 and 7,048.81 is: 10,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.75 : 15,228.38 = 7,048.81 : x
  2. Step 2: Convert to fraction form
    10,162.75/15,228.38 = 7,048.81/x
  3. Step 3: Cross multiply
    10,162.75x = 15,228.38 × 7,048.81
  4. Step 4: Simplify right side
    10,162.75x = 107,341,957.23
  5. Step 5: Solve for x
    x = 107,341,957.23/10,162.75
  6. Step 6: Final answer
    x = 10,562.29

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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.