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Finding the Fourth Proportional to 7,022, 10,535.16 and 3,128.60

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Solution

The fourth proportional to 7,022, 10,535.16 and 3,128.60 is: 4,693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022 : 10,535.16 = 3,128.60 : x
  2. Step 2: Convert to fraction form
    7,022/10,535.16 = 3,128.60/x
  3. Step 3: Cross multiply
    7,022x = 10,535.16 × 3,128.60
  4. Step 4: Simplify right side
    7,022x = 32,960,301.58
  5. Step 5: Solve for x
    x = 32,960,301.58/7,022
  6. Step 6: Final answer
    x = 4,693.86

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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.