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Finding the Fourth Proportional to 10,216.26, 14,092.74 and 7,029.18

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Solution

The fourth proportional to 10,216.26, 14,092.74 and 7,029.18 is: 9,696.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.26 : 14,092.74 = 7,029.18 : x
  2. Step 2: Convert to fraction form
    10,216.26/14,092.74 = 7,029.18/x
  3. Step 3: Cross multiply
    10,216.26x = 14,092.74 × 7,029.18
  4. Step 4: Simplify right side
    10,216.26x = 99,060,406.15
  5. Step 5: Solve for x
    x = 99,060,406.15/10,216.26
  6. Step 6: Final answer
    x = 9,696.35

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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.