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Finding the Fourth Proportional to 7,606.86, 11,396.59 and 7,149.39

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Solution

The fourth proportional to 7,606.86, 11,396.59 and 7,149.39 is: 10,711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.86 : 11,396.59 = 7,149.39 : x
  2. Step 2: Convert to fraction form
    7,606.86/11,396.59 = 7,149.39/x
  3. Step 3: Cross multiply
    7,606.86x = 11,396.59 × 7,149.39
  4. Step 4: Simplify right side
    7,606.86x = 81,478,648.71
  5. Step 5: Solve for x
    x = 81,478,648.71/7,606.86
  6. Step 6: Final answer
    x = 10,711.21

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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.