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Finding the Fourth Proportional to 7,538.40, 10,402.65 and 4,181.40

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Solution

The fourth proportional to 7,538.40, 10,402.65 and 4,181.40 is: 5,770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.40 : 10,402.65 = 4,181.40 : x
  2. Step 2: Convert to fraction form
    7,538.40/10,402.65 = 4,181.40/x
  3. Step 3: Cross multiply
    7,538.40x = 10,402.65 × 4,181.40
  4. Step 4: Simplify right side
    7,538.40x = 43,497,640.71
  5. Step 5: Solve for x
    x = 43,497,640.71/7,538.40
  6. Step 6: Final answer
    x = 5,770.14

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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.