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Finding the Fourth Proportional to 11,501.69, 15,873.80 and 7,024.49

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Solution

The fourth proportional to 11,501.69, 15,873.80 and 7,024.49 is: 9,694.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.69 : 15,873.80 = 7,024.49 : x
  2. Step 2: Convert to fraction form
    11,501.69/15,873.80 = 7,024.49/x
  3. Step 3: Cross multiply
    11,501.69x = 15,873.80 × 7,024.49
  4. Step 4: Simplify right side
    11,501.69x = 111,505,234.87
  5. Step 5: Solve for x
    x = 111,505,234.87/11,501.69
  6. Step 6: Final answer
    x = 9,694.69

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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.