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Finding the Fourth Proportional to 11,674.64, 16,109.93 and 6,637.88

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Solution

The fourth proportional to 11,674.64, 16,109.93 and 6,637.88 is: 9,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.64 : 16,109.93 = 6,637.88 : x
  2. Step 2: Convert to fraction form
    11,674.64/16,109.93 = 6,637.88/x
  3. Step 3: Cross multiply
    11,674.64x = 16,109.93 × 6,637.88
  4. Step 4: Simplify right side
    11,674.64x = 106,935,782.15
  5. Step 5: Solve for x
    x = 106,935,782.15/11,674.64
  6. Step 6: Final answer
    x = 9,159.66

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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.