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Finding the Fourth Proportional to 10,694.25, 16,047.86 and 4,538.25

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Solution

The fourth proportional to 10,694.25, 16,047.86 and 4,538.25 is: 6,810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.25 : 16,047.86 = 4,538.25 : x
  2. Step 2: Convert to fraction form
    10,694.25/16,047.86 = 4,538.25/x
  3. Step 3: Cross multiply
    10,694.25x = 16,047.86 × 4,538.25
  4. Step 4: Simplify right side
    10,694.25x = 72,829,177.95
  5. Step 5: Solve for x
    x = 72,829,177.95/10,694.25
  6. Step 6: Final answer
    x = 6,810.12

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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.