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Finding the Fourth Proportional to 10,647.30, 14,695.06 and 8,124.62

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Solution

The fourth proportional to 10,647.30, 14,695.06 and 8,124.62 is: 11,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.30 : 14,695.06 = 8,124.62 : x
  2. Step 2: Convert to fraction form
    10,647.30/14,695.06 = 8,124.62/x
  3. Step 3: Cross multiply
    10,647.30x = 14,695.06 × 8,124.62
  4. Step 4: Simplify right side
    10,647.30x = 119,391,778.38
  5. Step 5: Solve for x
    x = 119,391,778.38/10,647.30
  6. Step 6: Final answer
    x = 11,213.34

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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.