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Finding the Fourth Proportional to 7,798.29, 11,699.44 and 2,252.07

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Solution

The fourth proportional to 7,798.29, 11,699.44 and 2,252.07 is: 3,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.29 : 11,699.44 = 2,252.07 : x
  2. Step 2: Convert to fraction form
    7,798.29/11,699.44 = 2,252.07/x
  3. Step 3: Cross multiply
    7,798.29x = 11,699.44 × 2,252.07
  4. Step 4: Simplify right side
    7,798.29x = 26,347,952.21
  5. Step 5: Solve for x
    x = 26,347,952.21/7,798.29
  6. Step 6: Final answer
    x = 3,378.68

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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.