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Finding the Fourth Proportional to 7,537.99, 10,402.08 and 4,180.78

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Solution

The fourth proportional to 7,537.99, 10,402.08 and 4,180.78 is: 5,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.99 : 10,402.08 = 4,180.78 : x
  2. Step 2: Convert to fraction form
    7,537.99/10,402.08 = 4,180.78/x
  3. Step 3: Cross multiply
    7,537.99x = 10,402.08 × 4,180.78
  4. Step 4: Simplify right side
    7,537.99x = 43,488,808.02
  5. Step 5: Solve for x
    x = 43,488,808.02/7,537.99
  6. Step 6: Final answer
    x = 5,769.28

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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.