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Finding the Fourth Proportional to 10,771.62, 14,864.61 and 6,055.90

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Solution

The fourth proportional to 10,771.62, 14,864.61 and 6,055.90 is: 8,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.62 : 14,864.61 = 6,055.90 : x
  2. Step 2: Convert to fraction form
    10,771.62/14,864.61 = 6,055.90/x
  3. Step 3: Cross multiply
    10,771.62x = 14,864.61 × 6,055.90
  4. Step 4: Simplify right side
    10,771.62x = 90,018,591.70
  5. Step 5: Solve for x
    x = 90,018,591.70/10,771.62
  6. Step 6: Final answer
    x = 8,357.02

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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.