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Finding the Fourth Proportional to 11,801.66, 16,287.01 and 6,497.64

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Solution

The fourth proportional to 11,801.66, 16,287.01 and 6,497.64 is: 8,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.66 : 16,287.01 = 6,497.64 : x
  2. Step 2: Convert to fraction form
    11,801.66/16,287.01 = 6,497.64/x
  3. Step 3: Cross multiply
    11,801.66x = 16,287.01 × 6,497.64
  4. Step 4: Simplify right side
    11,801.66x = 105,827,111.41
  5. Step 5: Solve for x
    x = 105,827,111.41/11,801.66
  6. Step 6: Final answer
    x = 8,967.14

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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.