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Finding the Fourth Proportional to 10,155.86, 15,235.23 and 3,136.46

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Solution

The fourth proportional to 10,155.86, 15,235.23 and 3,136.46 is: 4,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.86 : 15,235.23 = 3,136.46 : x
  2. Step 2: Convert to fraction form
    10,155.86/15,235.23 = 3,136.46/x
  3. Step 3: Cross multiply
    10,155.86x = 15,235.23 × 3,136.46
  4. Step 4: Simplify right side
    10,155.86x = 47,784,625.07
  5. Step 5: Solve for x
    x = 47,784,625.07/10,155.86
  6. Step 6: Final answer
    x = 4,705.13

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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.