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Finding the Fourth Proportional to 10,228.71, 15,330.51 and 5,295.54

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Solution

The fourth proportional to 10,228.71, 15,330.51 and 5,295.54 is: 7,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.71 : 15,330.51 = 5,295.54 : x
  2. Step 2: Convert to fraction form
    10,228.71/15,330.51 = 5,295.54/x
  3. Step 3: Cross multiply
    10,228.71x = 15,330.51 × 5,295.54
  4. Step 4: Simplify right side
    10,228.71x = 81,183,328.93
  5. Step 5: Solve for x
    x = 81,183,328.93/10,228.71
  6. Step 6: Final answer
    x = 7,936.81

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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.