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Finding the Fourth Proportional to 11,673.18, 16,107.63 and 6,637.98

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Solution

The fourth proportional to 11,673.18, 16,107.63 and 6,637.98 is: 9,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.18 : 16,107.63 = 6,637.98 : x
  2. Step 2: Convert to fraction form
    11,673.18/16,107.63 = 6,637.98/x
  3. Step 3: Cross multiply
    11,673.18x = 16,107.63 × 6,637.98
  4. Step 4: Simplify right side
    11,673.18x = 106,922,125.79
  5. Step 5: Solve for x
    x = 106,922,125.79/11,673.18
  6. Step 6: Final answer
    x = 9,159.64

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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.