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Finding the Fourth Proportional to 10,564.69, 15,841.11 and 7,236.69

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Solution

The fourth proportional to 10,564.69, 15,841.11 and 7,236.69 is: 10,850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.69 : 15,841.11 = 7,236.69 : x
  2. Step 2: Convert to fraction form
    10,564.69/15,841.11 = 7,236.69/x
  3. Step 3: Cross multiply
    10,564.69x = 15,841.11 × 7,236.69
  4. Step 4: Simplify right side
    10,564.69x = 114,637,234.59
  5. Step 5: Solve for x
    x = 114,637,234.59/10,564.69
  6. Step 6: Final answer
    x = 10,850.98

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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.