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Finding the Fourth Proportional to 11,369.16, 15,685.08 and 8,392.08

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Solution

The fourth proportional to 11,369.16, 15,685.08 and 8,392.08 is: 11,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369.16 : 15,685.08 = 8,392.08 : x
  2. Step 2: Convert to fraction form
    11,369.16/15,685.08 = 8,392.08/x
  3. Step 3: Cross multiply
    11,369.16x = 15,685.08 × 8,392.08
  4. Step 4: Simplify right side
    11,369.16x = 131,630,446.17
  5. Step 5: Solve for x
    x = 131,630,446.17/11,369.16
  6. Step 6: Final answer
    x = 11,577.85

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Why These Related Problems?

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