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Finding the Fourth Proportional to 7,615.75, 10,486.37 and 6,666.23

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Solution

The fourth proportional to 7,615.75, 10,486.37 and 6,666.23 is: 9,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.75 : 10,486.37 = 6,666.23 : x
  2. Step 2: Convert to fraction form
    7,615.75/10,486.37 = 6,666.23/x
  3. Step 3: Cross multiply
    7,615.75x = 10,486.37 × 6,666.23
  4. Step 4: Simplify right side
    7,615.75x = 69,904,519.43
  5. Step 5: Solve for x
    x = 69,904,519.43/7,615.75
  6. Step 6: Final answer
    x = 9,178.94

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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.