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Finding the Fourth Proportional to 10,511.48, 15,786.62 and 7,051.16

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Solution

The fourth proportional to 10,511.48, 15,786.62 and 7,051.16 is: 10,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.48 : 15,786.62 = 7,051.16 : x
  2. Step 2: Convert to fraction form
    10,511.48/15,786.62 = 7,051.16/x
  3. Step 3: Cross multiply
    10,511.48x = 15,786.62 × 7,051.16
  4. Step 4: Simplify right side
    10,511.48x = 111,313,983.48
  5. Step 5: Solve for x
    x = 111,313,983.48/10,511.48
  6. Step 6: Final answer
    x = 10,589.75

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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.