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Finding the Fourth Proportional to 10,706.76, 14,775.12 and 6,231.96

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Solution

The fourth proportional to 10,706.76, 14,775.12 and 6,231.96 is: 8,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.76 : 14,775.12 = 6,231.96 : x
  2. Step 2: Convert to fraction form
    10,706.76/14,775.12 = 6,231.96/x
  3. Step 3: Cross multiply
    10,706.76x = 14,775.12 × 6,231.96
  4. Step 4: Simplify right side
    10,706.76x = 92,077,956.84
  5. Step 5: Solve for x
    x = 92,077,956.84/10,706.76
  6. Step 6: Final answer
    x = 8,599.98

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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.