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Finding the Fourth Proportional to 12,106.60, 16,708.48 and 7,072.45

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Solution

The fourth proportional to 12,106.60, 16,708.48 and 7,072.45 is: 9,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.60 : 16,708.48 = 7,072.45 : x
  2. Step 2: Convert to fraction form
    12,106.60/16,708.48 = 7,072.45/x
  3. Step 3: Cross multiply
    12,106.60x = 16,708.48 × 7,072.45
  4. Step 4: Simplify right side
    12,106.60x = 118,169,829.92
  5. Step 5: Solve for x
    x = 118,169,829.92/12,106.60
  6. Step 6: Final answer
    x = 9,760.78

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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.