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Finding the Fourth Proportional to 11,802.78, 17,711.01 and 4,406.96

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Solution

The fourth proportional to 11,802.78, 17,711.01 and 4,406.96 is: 6,613.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.78 : 17,711.01 = 4,406.96 : x
  2. Step 2: Convert to fraction form
    11,802.78/17,711.01 = 4,406.96/x
  3. Step 3: Cross multiply
    11,802.78x = 17,711.01 × 4,406.96
  4. Step 4: Simplify right side
    11,802.78x = 78,051,756.91
  5. Step 5: Solve for x
    x = 78,051,756.91/11,802.78
  6. Step 6: Final answer
    x = 6,613.00

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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.