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Finding the Fourth Proportional to 10,231.30, 15,346.95 and 6,343.30

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Solution

The fourth proportional to 10,231.30, 15,346.95 and 6,343.30 is: 9,514.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.30 : 15,346.95 = 6,343.30 : x
  2. Step 2: Convert to fraction form
    10,231.30/15,346.95 = 6,343.30/x
  3. Step 3: Cross multiply
    10,231.30x = 15,346.95 × 6,343.30
  4. Step 4: Simplify right side
    10,231.30x = 97,350,307.94
  5. Step 5: Solve for x
    x = 97,350,307.94/10,231.30
  6. Step 6: Final answer
    x = 9,514.95

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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.