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Finding the Fourth Proportional to 10,328.96, 14,253.42 and 5,613.22

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Solution

The fourth proportional to 10,328.96, 14,253.42 and 5,613.22 is: 7,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.96 : 14,253.42 = 5,613.22 : x
  2. Step 2: Convert to fraction form
    10,328.96/14,253.42 = 5,613.22/x
  3. Step 3: Cross multiply
    10,328.96x = 14,253.42 × 5,613.22
  4. Step 4: Simplify right side
    10,328.96x = 80,007,582.21
  5. Step 5: Solve for x
    x = 80,007,582.21/10,328.96
  6. Step 6: Final answer
    x = 7,745.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.