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Finding the Fourth Proportional to 8,549.07, 11,797.92 and 5,362.50

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Solution

The fourth proportional to 8,549.07, 11,797.92 and 5,362.50 is: 7,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.07 : 11,797.92 = 5,362.50 : x
  2. Step 2: Convert to fraction form
    8,549.07/11,797.92 = 5,362.50/x
  3. Step 3: Cross multiply
    8,549.07x = 11,797.92 × 5,362.50
  4. Step 4: Simplify right side
    8,549.07x = 63,266,390.24
  5. Step 5: Solve for x
    x = 63,266,390.24/8,549.07
  6. Step 6: Final answer
    x = 7,400.38

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Why These Related Problems?

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