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Finding the Fourth Proportional to 10,771.16, 14,864.06 and 6,055.44

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Solution

The fourth proportional to 10,771.16, 14,864.06 and 6,055.44 is: 8,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.16 : 14,864.06 = 6,055.44 : x
  2. Step 2: Convert to fraction form
    10,771.16/14,864.06 = 6,055.44/x
  3. Step 3: Cross multiply
    10,771.16x = 14,864.06 × 6,055.44
  4. Step 4: Simplify right side
    10,771.16x = 90,008,438.63
  5. Step 5: Solve for x
    x = 90,008,438.63/10,771.16
  6. Step 6: Final answer
    x = 8,356.43

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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.