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Finding the Fourth Proportional to 10,771.89, 14,864.76 and 6,056.07

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Solution

The fourth proportional to 10,771.89, 14,864.76 and 6,056.07 is: 8,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.89 : 14,864.76 = 6,056.07 : x
  2. Step 2: Convert to fraction form
    10,771.89/14,864.76 = 6,056.07/x
  3. Step 3: Cross multiply
    10,771.89x = 14,864.76 × 6,056.07
  4. Step 4: Simplify right side
    10,771.89x = 90,022,027.09
  5. Step 5: Solve for x
    x = 90,022,027.09/10,771.89
  6. Step 6: Final answer
    x = 8,357.12

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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.