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Finding the Fourth Proportional to 10,822.32, 14,932.22 and 6,106.61

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Solution

The fourth proportional to 10,822.32, 14,932.22 and 6,106.61 is: 8,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.32 : 14,932.22 = 6,106.61 : x
  2. Step 2: Convert to fraction form
    10,822.32/14,932.22 = 6,106.61/x
  3. Step 3: Cross multiply
    10,822.32x = 14,932.22 × 6,106.61
  4. Step 4: Simplify right side
    10,822.32x = 91,185,250.77
  5. Step 5: Solve for x
    x = 91,185,250.77/10,822.32
  6. Step 6: Final answer
    x = 8,425.67

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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.