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Finding the Fourth Proportional to 11,646.66, 16,064.23 and 7,172.88

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Solution

The fourth proportional to 11,646.66, 16,064.23 and 7,172.88 is: 9,893.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.66 : 16,064.23 = 7,172.88 : x
  2. Step 2: Convert to fraction form
    11,646.66/16,064.23 = 7,172.88/x
  3. Step 3: Cross multiply
    11,646.66x = 16,064.23 × 7,172.88
  4. Step 4: Simplify right side
    11,646.66x = 115,226,715.91
  5. Step 5: Solve for x
    x = 115,226,715.91/11,646.66
  6. Step 6: Final answer
    x = 9,893.54

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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.