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Finding the Fourth Proportional to 10,339.36, 15,496.71 and 7,202.38

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Solution

The fourth proportional to 10,339.36, 15,496.71 and 7,202.38 is: 10,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.36 : 15,496.71 = 7,202.38 : x
  2. Step 2: Convert to fraction form
    10,339.36/15,496.71 = 7,202.38/x
  3. Step 3: Cross multiply
    10,339.36x = 15,496.71 × 7,202.38
  4. Step 4: Simplify right side
    10,339.36x = 111,613,194.17
  5. Step 5: Solve for x
    x = 111,613,194.17/10,339.36
  6. Step 6: Final answer
    x = 10,794.98

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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.