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Finding the Fourth Proportional to 10,950.30, 15,111.42 and 5,914.53

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Solution

The fourth proportional to 10,950.30, 15,111.42 and 5,914.53 is: 8,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.30 : 15,111.42 = 5,914.53 : x
  2. Step 2: Convert to fraction form
    10,950.30/15,111.42 = 5,914.53/x
  3. Step 3: Cross multiply
    10,950.30x = 15,111.42 × 5,914.53
  4. Step 4: Simplify right side
    10,950.30x = 89,376,946.93
  5. Step 5: Solve for x
    x = 89,376,946.93/10,950.30
  6. Step 6: Final answer
    x = 8,162.05

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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.