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Finding the Fourth Proportional to 10,036.53, 15,049.32 and 7,969.81

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Solution

The fourth proportional to 10,036.53, 15,049.32 and 7,969.81 is: 11,950.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.53 : 15,049.32 = 7,969.81 : x
  2. Step 2: Convert to fraction form
    10,036.53/15,049.32 = 7,969.81/x
  3. Step 3: Cross multiply
    10,036.53x = 15,049.32 × 7,969.81
  4. Step 4: Simplify right side
    10,036.53x = 119,940,181.18
  5. Step 5: Solve for x
    x = 119,940,181.18/10,036.53
  6. Step 6: Final answer
    x = 11,950.36

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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.