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Finding the Fourth Proportional to 10,110.69, 15,173.80 and 6,940.69

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Solution

The fourth proportional to 10,110.69, 15,173.80 and 6,940.69 is: 10,416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,110.69 : 15,173.80 = 6,940.69 : x
  2. Step 2: Convert to fraction form
    10,110.69/15,173.80 = 6,940.69/x
  3. Step 3: Cross multiply
    10,110.69x = 15,173.80 × 6,940.69
  4. Step 4: Simplify right side
    10,110.69x = 105,316,586.64
  5. Step 5: Solve for x
    x = 105,316,586.64/10,110.69
  6. Step 6: Final answer
    x = 10,416.36

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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.