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Finding the Fourth Proportional to 10,238.84, 15,357.62 and 5,040.12

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Solution

The fourth proportional to 10,238.84, 15,357.62 and 5,040.12 is: 7,559.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.84 : 15,357.62 = 5,040.12 : x
  2. Step 2: Convert to fraction form
    10,238.84/15,357.62 = 5,040.12/x
  3. Step 3: Cross multiply
    10,238.84x = 15,357.62 × 5,040.12
  4. Step 4: Simplify right side
    10,238.84x = 77,404,247.71
  5. Step 5: Solve for x
    x = 77,404,247.71/10,238.84
  6. Step 6: Final answer
    x = 7,559.86

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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.