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Finding the Fourth Proportional to 11,184.48, 15,434.16 and 6,216.48

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Solution

The fourth proportional to 11,184.48, 15,434.16 and 6,216.48 is: 8,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184.48 : 15,434.16 = 6,216.48 : x
  2. Step 2: Convert to fraction form
    11,184.48/15,434.16 = 6,216.48/x
  3. Step 3: Cross multiply
    11,184.48x = 15,434.16 × 6,216.48
  4. Step 4: Simplify right side
    11,184.48x = 95,946,146.96
  5. Step 5: Solve for x
    x = 95,946,146.96/11,184.48
  6. Step 6: Final answer
    x = 8,578.51

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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.