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Finding the Fourth Proportional to 10,568.48, 15,852.87 and 5,022.39

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Solution

The fourth proportional to 10,568.48, 15,852.87 and 5,022.39 is: 7,533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.48 : 15,852.87 = 5,022.39 : x
  2. Step 2: Convert to fraction form
    10,568.48/15,852.87 = 5,022.39/x
  3. Step 3: Cross multiply
    10,568.48x = 15,852.87 × 5,022.39
  4. Step 4: Simplify right side
    10,568.48x = 79,619,295.76
  5. Step 5: Solve for x
    x = 79,619,295.76/10,568.48
  6. Step 6: Final answer
    x = 7,533.66

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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.