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Finding the Fourth Proportional to 11,385, 15,715.62 and 7,661.16

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Solution

The fourth proportional to 11,385, 15,715.62 and 7,661.16 is: 10,575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385 : 15,715.62 = 7,661.16 : x
  2. Step 2: Convert to fraction form
    11,385/15,715.62 = 7,661.16/x
  3. Step 3: Cross multiply
    11,385x = 15,715.62 × 7,661.16
  4. Step 4: Simplify right side
    11,385x = 120,399,879.32
  5. Step 5: Solve for x
    x = 120,399,879.32/11,385
  6. Step 6: Final answer
    x = 10,575.31

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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.