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Finding the Fourth Proportional to 10,385.30, 15,564.98 and 5,192.66

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Solution

The fourth proportional to 10,385.30, 15,564.98 and 5,192.66 is: 7,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.30 : 15,564.98 = 5,192.66 : x
  2. Step 2: Convert to fraction form
    10,385.30/15,564.98 = 5,192.66/x
  3. Step 3: Cross multiply
    10,385.30x = 15,564.98 × 5,192.66
  4. Step 4: Simplify right side
    10,385.30x = 80,823,584.20
  5. Step 5: Solve for x
    x = 80,823,584.20/10,385.30
  6. Step 6: Final answer
    x = 7,782.50

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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.