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Finding the Fourth Proportional to 7,088.92, 9,783.17 and 4,105.80

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Solution

The fourth proportional to 7,088.92, 9,783.17 and 4,105.80 is: 5,666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.92 : 9,783.17 = 4,105.80 : x
  2. Step 2: Convert to fraction form
    7,088.92/9,783.17 = 4,105.80/x
  3. Step 3: Cross multiply
    7,088.92x = 9,783.17 × 4,105.80
  4. Step 4: Simplify right side
    7,088.92x = 40,167,739.39
  5. Step 5: Solve for x
    x = 40,167,739.39/7,088.92
  6. Step 6: Final answer
    x = 5,666.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.