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Finding the Fourth Proportional to 7,223.52, 9,962.52 and 5,106.18

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Solution

The fourth proportional to 7,223.52, 9,962.52 and 5,106.18 is: 7,042.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.52 : 9,962.52 = 5,106.18 : x
  2. Step 2: Convert to fraction form
    7,223.52/9,962.52 = 5,106.18/x
  3. Step 3: Cross multiply
    7,223.52x = 9,962.52 × 5,106.18
  4. Step 4: Simplify right side
    7,223.52x = 50,870,420.37
  5. Step 5: Solve for x
    x = 50,870,420.37/7,223.52
  6. Step 6: Final answer
    x = 7,042.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.