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Finding the Fourth Proportional to 10,772.63, 14,864.03 and 6,295.52

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Solution

The fourth proportional to 10,772.63, 14,864.03 and 6,295.52 is: 8,686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.63 : 14,864.03 = 6,295.52 : x
  2. Step 2: Convert to fraction form
    10,772.63/14,864.03 = 6,295.52/x
  3. Step 3: Cross multiply
    10,772.63x = 14,864.03 × 6,295.52
  4. Step 4: Simplify right side
    10,772.63x = 93,576,692.35
  5. Step 5: Solve for x
    x = 93,576,692.35/10,772.63
  6. Step 6: Final answer
    x = 8,686.53

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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.