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Finding the Fourth Proportional to 11,630.83, 16,044.91 and 6,911.77

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Solution

The fourth proportional to 11,630.83, 16,044.91 and 6,911.77 is: 9,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.83 : 16,044.91 = 6,911.77 : x
  2. Step 2: Convert to fraction form
    11,630.83/16,044.91 = 6,911.77/x
  3. Step 3: Cross multiply
    11,630.83x = 16,044.91 × 6,911.77
  4. Step 4: Simplify right side
    11,630.83x = 110,898,727.59
  5. Step 5: Solve for x
    x = 110,898,727.59/11,630.83
  6. Step 6: Final answer
    x = 9,534.89

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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.