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Finding the Fourth Proportional to 11,646.27, 16,071.89 and 6,930.45

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Solution

The fourth proportional to 11,646.27, 16,071.89 and 6,930.45 is: 9,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.27 : 16,071.89 = 6,930.45 : x
  2. Step 2: Convert to fraction form
    11,646.27/16,071.89 = 6,930.45/x
  3. Step 3: Cross multiply
    11,646.27x = 16,071.89 × 6,930.45
  4. Step 4: Simplify right side
    11,646.27x = 111,385,395.40
  5. Step 5: Solve for x
    x = 111,385,395.40/11,646.27
  6. Step 6: Final answer
    x = 9,564.04

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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.