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Finding the Fourth Proportional to 11,524.32, 15,903.18 and 6,808.50

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Solution

The fourth proportional to 11,524.32, 15,903.18 and 6,808.50 is: 9,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.32 : 15,903.18 = 6,808.50 : x
  2. Step 2: Convert to fraction form
    11,524.32/15,903.18 = 6,808.50/x
  3. Step 3: Cross multiply
    11,524.32x = 15,903.18 × 6,808.50
  4. Step 4: Simplify right side
    11,524.32x = 108,276,801.03
  5. Step 5: Solve for x
    x = 108,276,801.03/11,524.32
  6. Step 6: Final answer
    x = 9,395.50

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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.