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Finding the Fourth Proportional to 11,367.32, 15,682.74 and 6,887.84

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Solution

The fourth proportional to 11,367.32, 15,682.74 and 6,887.84 is: 9,502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,367.32 : 15,682.74 = 6,887.84 : x
  2. Step 2: Convert to fraction form
    11,367.32/15,682.74 = 6,887.84/x
  3. Step 3: Cross multiply
    11,367.32x = 15,682.74 × 6,887.84
  4. Step 4: Simplify right side
    11,367.32x = 108,020,203.88
  5. Step 5: Solve for x
    x = 108,020,203.88/11,367.32
  6. Step 6: Final answer
    x = 9,502.70

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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.