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Finding the Fourth Proportional to 10,850.23, 14,973.97 and 6,134.51

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Solution

The fourth proportional to 10,850.23, 14,973.97 and 6,134.51 is: 8,465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.23 : 14,973.97 = 6,134.51 : x
  2. Step 2: Convert to fraction form
    10,850.23/14,973.97 = 6,134.51/x
  3. Step 3: Cross multiply
    10,850.23x = 14,973.97 × 6,134.51
  4. Step 4: Simplify right side
    10,850.23x = 91,857,968.70
  5. Step 5: Solve for x
    x = 91,857,968.70/10,850.23
  6. Step 6: Final answer
    x = 8,465.99

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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.