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Finding the Fourth Proportional to 11,957.08, 16,493.94 and 7,175.74

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Solution

The fourth proportional to 11,957.08, 16,493.94 and 7,175.74 is: 9,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.08 : 16,493.94 = 7,175.74 : x
  2. Step 2: Convert to fraction form
    11,957.08/16,493.94 = 7,175.74/x
  3. Step 3: Cross multiply
    11,957.08x = 16,493.94 × 7,175.74
  4. Step 4: Simplify right side
    11,957.08x = 118,356,225.02
  5. Step 5: Solve for x
    x = 118,356,225.02/11,957.08
  6. Step 6: Final answer
    x = 9,898.42

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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.