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Finding the Fourth Proportional to 7,538.77, 10,402.90 and 4,181.52

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Solution

The fourth proportional to 7,538.77, 10,402.90 and 4,181.52 is: 5,770.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.77 : 10,402.90 = 4,181.52 : x
  2. Step 2: Convert to fraction form
    7,538.77/10,402.90 = 4,181.52/x
  3. Step 3: Cross multiply
    7,538.77x = 10,402.90 × 4,181.52
  4. Step 4: Simplify right side
    7,538.77x = 43,499,962.97
  5. Step 5: Solve for x
    x = 43,499,962.97/7,538.77
  6. Step 6: Final answer
    x = 5,770.17

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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.