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Finding the Fourth Proportional to 11,668.02, 16,101.63 and 6,363.06

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Solution

The fourth proportional to 11,668.02, 16,101.63 and 6,363.06 is: 8,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.02 : 16,101.63 = 6,363.06 : x
  2. Step 2: Convert to fraction form
    11,668.02/16,101.63 = 6,363.06/x
  3. Step 3: Cross multiply
    11,668.02x = 16,101.63 × 6,363.06
  4. Step 4: Simplify right side
    11,668.02x = 102,455,637.79
  5. Step 5: Solve for x
    x = 102,455,637.79/11,668.02
  6. Step 6: Final answer
    x = 8,780.89

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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.