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Finding the Fourth Proportional to 7,022.30, 10,533.41 and 2,341.41

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Solution

The fourth proportional to 7,022.30, 10,533.41 and 2,341.41 is: 3,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.30 : 10,533.41 = 2,341.41 : x
  2. Step 2: Convert to fraction form
    7,022.30/10,533.41 = 2,341.41/x
  3. Step 3: Cross multiply
    7,022.30x = 10,533.41 × 2,341.41
  4. Step 4: Simplify right side
    7,022.30x = 24,662,989.08
  5. Step 5: Solve for x
    x = 24,662,989.08/7,022.30
  6. Step 6: Final answer
    x = 3,512.10

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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.