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Finding the Fourth Proportional to 7,536.71, 10,395.45 and 5,174.75

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Solution

The fourth proportional to 7,536.71, 10,395.45 and 5,174.75 is: 7,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.71 : 10,395.45 = 5,174.75 : x
  2. Step 2: Convert to fraction form
    7,536.71/10,395.45 = 5,174.75/x
  3. Step 3: Cross multiply
    7,536.71x = 10,395.45 × 5,174.75
  4. Step 4: Simplify right side
    7,536.71x = 53,793,802.91
  5. Step 5: Solve for x
    x = 53,793,802.91/7,536.71
  6. Step 6: Final answer
    x = 7,137.58

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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.