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Finding the Fourth Proportional to 10,019.89, 15,038.91 and 5,343.82

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Solution

The fourth proportional to 10,019.89, 15,038.91 and 5,343.82 is: 8,020.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.89 : 15,038.91 = 5,343.82 : x
  2. Step 2: Convert to fraction form
    10,019.89/15,038.91 = 5,343.82/x
  3. Step 3: Cross multiply
    10,019.89x = 15,038.91 × 5,343.82
  4. Step 4: Simplify right side
    10,019.89x = 80,365,228.04
  5. Step 5: Solve for x
    x = 80,365,228.04/10,019.89
  6. Step 6: Final answer
    x = 8,020.57

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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.