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Finding the Fourth Proportional to 5,509.50, 8,264.25 and 5,232.66

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Solution

The fourth proportional to 5,509.50, 8,264.25 and 5,232.66 is: 7,848.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.50 : 8,264.25 = 5,232.66 : x
  2. Step 2: Convert to fraction form
    5,509.50/8,264.25 = 5,232.66/x
  3. Step 3: Cross multiply
    5,509.50x = 8,264.25 × 5,232.66
  4. Step 4: Simplify right side
    5,509.50x = 43,244,010.41
  5. Step 5: Solve for x
    x = 43,244,010.41/5,509.50
  6. Step 6: Final answer
    x = 7,848.99

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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.