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Finding the Fourth Proportional to 7,005.42, 10,495.17 and 3,538.62

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Solution

The fourth proportional to 7,005.42, 10,495.17 and 3,538.62 is: 5,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.42 : 10,495.17 = 3,538.62 : x
  2. Step 2: Convert to fraction form
    7,005.42/10,495.17 = 3,538.62/x
  3. Step 3: Cross multiply
    7,005.42x = 10,495.17 × 3,538.62
  4. Step 4: Simplify right side
    7,005.42x = 37,138,418.47
  5. Step 5: Solve for x
    x = 37,138,418.47/7,005.42
  6. Step 6: Final answer
    x = 5,301.38

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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.