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Finding the Fourth Proportional to 10,572.94, 15,832.62 and 6,353.68

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Solution

The fourth proportional to 10,572.94, 15,832.62 and 6,353.68 is: 9,514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.94 : 15,832.62 = 6,353.68 : x
  2. Step 2: Convert to fraction form
    10,572.94/15,832.62 = 6,353.68/x
  3. Step 3: Cross multiply
    10,572.94x = 15,832.62 × 6,353.68
  4. Step 4: Simplify right side
    10,572.94x = 100,595,401.04
  5. Step 5: Solve for x
    x = 100,595,401.04/10,572.94
  6. Step 6: Final answer
    x = 9,514.42

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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.