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Finding the Fourth Proportional to 10,809.29, 14,917.74 and 6,094.55

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Solution

The fourth proportional to 10,809.29, 14,917.74 and 6,094.55 is: 8,411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.29 : 14,917.74 = 6,094.55 : x
  2. Step 2: Convert to fraction form
    10,809.29/14,917.74 = 6,094.55/x
  3. Step 3: Cross multiply
    10,809.29x = 14,917.74 × 6,094.55
  4. Step 4: Simplify right side
    10,809.29x = 90,916,912.32
  5. Step 5: Solve for x
    x = 90,916,912.32/10,809.29
  6. Step 6: Final answer
    x = 8,411.00

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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.