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Finding the Fourth Proportional to 10,803.25, 14,909.34 and 6,024.75

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Solution

The fourth proportional to 10,803.25, 14,909.34 and 6,024.75 is: 8,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.25 : 14,909.34 = 6,024.75 : x
  2. Step 2: Convert to fraction form
    10,803.25/14,909.34 = 6,024.75/x
  3. Step 3: Cross multiply
    10,803.25x = 14,909.34 × 6,024.75
  4. Step 4: Simplify right side
    10,803.25x = 89,825,046.17
  5. Step 5: Solve for x
    x = 89,825,046.17/10,803.25
  6. Step 6: Final answer
    x = 8,314.63

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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.