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Finding the Fourth Proportional to 11,184, 15,433.92 and 6,216

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Solution

The fourth proportional to 11,184, 15,433.92 and 6,216 is: 8,578.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184 : 15,433.92 = 6,216 : x
  2. Step 2: Convert to fraction form
    11,184/15,433.92 = 6,216/x
  3. Step 3: Cross multiply
    11,184x = 15,433.92 × 6,216
  4. Step 4: Simplify right side
    11,184x = 95,937,246.72
  5. Step 5: Solve for x
    x = 95,937,246.72/11,184
  6. Step 6: Final answer
    x = 8,578.08

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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.