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Finding the Fourth Proportional to 10,771.23, 14,864.98 and 6,055.82

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Solution

The fourth proportional to 10,771.23, 14,864.98 and 6,055.82 is: 8,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.23 : 14,864.98 = 6,055.82 : x
  2. Step 2: Convert to fraction form
    10,771.23/14,864.98 = 6,055.82/x
  3. Step 3: Cross multiply
    10,771.23x = 14,864.98 × 6,055.82
  4. Step 4: Simplify right side
    10,771.23x = 90,019,643.18
  5. Step 5: Solve for x
    x = 90,019,643.18/10,771.23
  6. Step 6: Final answer
    x = 8,357.42

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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.