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Finding the Fourth Proportional to 11,809.16, 16,278.74 and 9,709.64

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Solution

The fourth proportional to 11,809.16, 16,278.74 and 9,709.64 is: 13,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.16 : 16,278.74 = 9,709.64 : x
  2. Step 2: Convert to fraction form
    11,809.16/16,278.74 = 9,709.64/x
  3. Step 3: Cross multiply
    11,809.16x = 16,278.74 × 9,709.64
  4. Step 4: Simplify right side
    11,809.16x = 158,060,705.05
  5. Step 5: Solve for x
    x = 158,060,705.05/11,809.16
  6. Step 6: Final answer
    x = 13,384.58

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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.