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Finding the Fourth Proportional to 11,646.76, 16,076.58 and 6,930.94

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Solution

The fourth proportional to 11,646.76, 16,076.58 and 6,930.94 is: 9,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.76 : 16,076.58 = 6,930.94 : x
  2. Step 2: Convert to fraction form
    11,646.76/16,076.58 = 6,930.94/x
  3. Step 3: Cross multiply
    11,646.76x = 16,076.58 × 6,930.94
  4. Step 4: Simplify right side
    11,646.76x = 111,425,811.39
  5. Step 5: Solve for x
    x = 111,425,811.39/11,646.76
  6. Step 6: Final answer
    x = 9,567.11

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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.