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Finding the Fourth Proportional to 10,937.19, 16,418.07 and 6,504.46

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Solution

The fourth proportional to 10,937.19, 16,418.07 and 6,504.46 is: 9,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.19 : 16,418.07 = 6,504.46 : x
  2. Step 2: Convert to fraction form
    10,937.19/16,418.07 = 6,504.46/x
  3. Step 3: Cross multiply
    10,937.19x = 16,418.07 × 6,504.46
  4. Step 4: Simplify right side
    10,937.19x = 106,790,679.59
  5. Step 5: Solve for x
    x = 106,790,679.59/10,937.19
  6. Step 6: Final answer
    x = 9,764.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.