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Finding the Fourth Proportional to 12,178.55, 16,800.72 and 7,708.91

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Solution

The fourth proportional to 12,178.55, 16,800.72 and 7,708.91 is: 10,634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.55 : 16,800.72 = 7,708.91 : x
  2. Step 2: Convert to fraction form
    12,178.55/16,800.72 = 7,708.91/x
  3. Step 3: Cross multiply
    12,178.55x = 16,800.72 × 7,708.91
  4. Step 4: Simplify right side
    12,178.55x = 129,515,125.50
  5. Step 5: Solve for x
    x = 129,515,125.50/12,178.55
  6. Step 6: Final answer
    x = 10,634.69

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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.