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Finding the Fourth Proportional to 10,352.14, 15,514.23 and 7,423.99

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Solution

The fourth proportional to 10,352.14, 15,514.23 and 7,423.99 is: 11,125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.14 : 15,514.23 = 7,423.99 : x
  2. Step 2: Convert to fraction form
    10,352.14/15,514.23 = 7,423.99/x
  3. Step 3: Cross multiply
    10,352.14x = 15,514.23 × 7,423.99
  4. Step 4: Simplify right side
    10,352.14x = 115,177,488.38
  5. Step 5: Solve for x
    x = 115,177,488.38/10,352.14
  6. Step 6: Final answer
    x = 11,125.96

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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.