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Finding the Fourth Proportional to 10,107.06, 13,954.86 and 7,594.98

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Solution

The fourth proportional to 10,107.06, 13,954.86 and 7,594.98 is: 10,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.06 : 13,954.86 = 7,594.98 : x
  2. Step 2: Convert to fraction form
    10,107.06/13,954.86 = 7,594.98/x
  3. Step 3: Cross multiply
    10,107.06x = 13,954.86 × 7,594.98
  4. Step 4: Simplify right side
    10,107.06x = 105,986,882.60
  5. Step 5: Solve for x
    x = 105,986,882.60/10,107.06
  6. Step 6: Final answer
    x = 10,486.42

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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.