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Finding the Fourth Proportional to 11,646.36, 16,071.12 and 6,929.76

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Solution

The fourth proportional to 11,646.36, 16,071.12 and 6,929.76 is: 9,562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.36 : 16,071.12 = 6,929.76 : x
  2. Step 2: Convert to fraction form
    11,646.36/16,071.12 = 6,929.76/x
  3. Step 3: Cross multiply
    11,646.36x = 16,071.12 × 6,929.76
  4. Step 4: Simplify right side
    11,646.36x = 111,369,004.53
  5. Step 5: Solve for x
    x = 111,369,004.53/11,646.36
  6. Step 6: Final answer
    x = 9,562.56

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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.