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Finding the Fourth Proportional to 10,708.97, 16,070.72 and 3,783.47

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Solution

The fourth proportional to 10,708.97, 16,070.72 and 3,783.47 is: 5,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.97 : 16,070.72 = 3,783.47 : x
  2. Step 2: Convert to fraction form
    10,708.97/16,070.72 = 3,783.47/x
  3. Step 3: Cross multiply
    10,708.97x = 16,070.72 × 3,783.47
  4. Step 4: Simplify right side
    10,708.97x = 60,802,987.73
  5. Step 5: Solve for x
    x = 60,802,987.73/10,708.97
  6. Step 6: Final answer
    x = 5,677.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.