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Finding the Fourth Proportional to 10,911.69, 16,368.18 and 3,416.65

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Solution

The fourth proportional to 10,911.69, 16,368.18 and 3,416.65 is: 5,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.69 : 16,368.18 = 3,416.65 : x
  2. Step 2: Convert to fraction form
    10,911.69/16,368.18 = 3,416.65/x
  3. Step 3: Cross multiply
    10,911.69x = 16,368.18 × 3,416.65
  4. Step 4: Simplify right side
    10,911.69x = 55,924,342.20
  5. Step 5: Solve for x
    x = 55,924,342.20/10,911.69
  6. Step 6: Final answer
    x = 5,125.18

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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.