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Finding the Fourth Proportional to 7,431.80, 11,146.68 and 5,203.88

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Solution

The fourth proportional to 7,431.80, 11,146.68 and 5,203.88 is: 7,805.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.80 : 11,146.68 = 5,203.88 : x
  2. Step 2: Convert to fraction form
    7,431.80/11,146.68 = 5,203.88/x
  3. Step 3: Cross multiply
    7,431.80x = 11,146.68 × 5,203.88
  4. Step 4: Simplify right side
    7,431.80x = 58,005,985.12
  5. Step 5: Solve for x
    x = 58,005,985.12/7,431.80
  6. Step 6: Final answer
    x = 7,805.11

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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.