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Finding the Fourth Proportional to 10,649.52, 14,696.34 and 6,174.12

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Solution

The fourth proportional to 10,649.52, 14,696.34 and 6,174.12 is: 8,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.52 : 14,696.34 = 6,174.12 : x
  2. Step 2: Convert to fraction form
    10,649.52/14,696.34 = 6,174.12/x
  3. Step 3: Cross multiply
    10,649.52x = 14,696.34 × 6,174.12
  4. Step 4: Simplify right side
    10,649.52x = 90,736,966.72
  5. Step 5: Solve for x
    x = 90,736,966.72/10,649.52
  6. Step 6: Final answer
    x = 8,520.29

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