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Finding the Fourth Proportional to 11,645.48, 16,077.36 and 7,678.16

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Solution

The fourth proportional to 11,645.48, 16,077.36 and 7,678.16 is: 10,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.48 : 16,077.36 = 7,678.16 : x
  2. Step 2: Convert to fraction form
    11,645.48/16,077.36 = 7,678.16/x
  3. Step 3: Cross multiply
    11,645.48x = 16,077.36 × 7,678.16
  4. Step 4: Simplify right side
    11,645.48x = 123,444,542.46
  5. Step 5: Solve for x
    x = 123,444,542.46/11,645.48
  6. Step 6: Final answer
    x = 10,600.21

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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.