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Finding the Fourth Proportional to 10,315.98, 15,473.37 and 5,930.22

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Solution

The fourth proportional to 10,315.98, 15,473.37 and 5,930.22 is: 8,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.98 : 15,473.37 = 5,930.22 : x
  2. Step 2: Convert to fraction form
    10,315.98/15,473.37 = 5,930.22/x
  3. Step 3: Cross multiply
    10,315.98x = 15,473.37 × 5,930.22
  4. Step 4: Simplify right side
    10,315.98x = 91,760,488.24
  5. Step 5: Solve for x
    x = 91,760,488.24/10,315.98
  6. Step 6: Final answer
    x = 8,894.99

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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.