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Finding the Fourth Proportional to 11,802.96, 16,288.02 and 6,497.64

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Solution

The fourth proportional to 11,802.96, 16,288.02 and 6,497.64 is: 8,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.96 : 16,288.02 = 6,497.64 : x
  2. Step 2: Convert to fraction form
    11,802.96/16,288.02 = 6,497.64/x
  3. Step 3: Cross multiply
    11,802.96x = 16,288.02 × 6,497.64
  4. Step 4: Simplify right side
    11,802.96x = 105,833,690.27
  5. Step 5: Solve for x
    x = 105,833,690.27/11,802.96
  6. Step 6: Final answer
    x = 8,966.71

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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.