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Finding the Fourth Proportional to 7,226.80, 10,840.16 and 2,032.52

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Solution

The fourth proportional to 7,226.80, 10,840.16 and 2,032.52 is: 3,048.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.80 : 10,840.16 = 2,032.52 : x
  2. Step 2: Convert to fraction form
    7,226.80/10,840.16 = 2,032.52/x
  3. Step 3: Cross multiply
    7,226.80x = 10,840.16 × 2,032.52
  4. Step 4: Simplify right side
    7,226.80x = 22,032,842.00
  5. Step 5: Solve for x
    x = 22,032,842.00/7,226.80
  6. Step 6: Final answer
    x = 3,048.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.