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Finding the Fourth Proportional to 12,011.46, 16,573.80 and 6,706.30

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Solution

The fourth proportional to 12,011.46, 16,573.80 and 6,706.30 is: 9,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.46 : 16,573.80 = 6,706.30 : x
  2. Step 2: Convert to fraction form
    12,011.46/16,573.80 = 6,706.30/x
  3. Step 3: Cross multiply
    12,011.46x = 16,573.80 × 6,706.30
  4. Step 4: Simplify right side
    12,011.46x = 111,148,874.94
  5. Step 5: Solve for x
    x = 111,148,874.94/12,011.46
  6. Step 6: Final answer
    x = 9,253.57

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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.