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Finding the Fourth Proportional to 10,328.82, 14,253.80 and 5,613.12

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Solution

The fourth proportional to 10,328.82, 14,253.80 and 5,613.12 is: 7,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.82 : 14,253.80 = 5,613.12 : x
  2. Step 2: Convert to fraction form
    10,328.82/14,253.80 = 5,613.12/x
  3. Step 3: Cross multiply
    10,328.82x = 14,253.80 × 5,613.12
  4. Step 4: Simplify right side
    10,328.82x = 80,008,289.86
  5. Step 5: Solve for x
    x = 80,008,289.86/10,328.82
  6. Step 6: Final answer
    x = 7,746.12

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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.