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Finding the Fourth Proportional to 10,155.81, 15,235.16 and 3,136.42

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Solution

The fourth proportional to 10,155.81, 15,235.16 and 3,136.42 is: 4,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.81 : 15,235.16 = 3,136.42 : x
  2. Step 2: Convert to fraction form
    10,155.81/15,235.16 = 3,136.42/x
  3. Step 3: Cross multiply
    10,155.81x = 15,235.16 × 3,136.42
  4. Step 4: Simplify right side
    10,155.81x = 47,783,863.89
  5. Step 5: Solve for x
    x = 47,783,863.89/10,155.81
  6. Step 6: Final answer
    x = 4,705.07

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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.