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Finding the Fourth Proportional to 11,911.35, 16,430.17 and 7,719.33

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Solution

The fourth proportional to 11,911.35, 16,430.17 and 7,719.33 is: 10,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.35 : 16,430.17 = 7,719.33 : x
  2. Step 2: Convert to fraction form
    11,911.35/16,430.17 = 7,719.33/x
  3. Step 3: Cross multiply
    11,911.35x = 16,430.17 × 7,719.33
  4. Step 4: Simplify right side
    11,911.35x = 126,829,904.19
  5. Step 5: Solve for x
    x = 126,829,904.19/11,911.35
  6. Step 6: Final answer
    x = 10,647.82

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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.