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Finding the Fourth Proportional to 10,902.20, 16,341.94 and 5,054

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Solution

The fourth proportional to 10,902.20, 16,341.94 and 5,054 is: 7,575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.20 : 16,341.94 = 5,054 : x
  2. Step 2: Convert to fraction form
    10,902.20/16,341.94 = 5,054/x
  3. Step 3: Cross multiply
    10,902.20x = 16,341.94 × 5,054
  4. Step 4: Simplify right side
    10,902.20x = 82,592,164.76
  5. Step 5: Solve for x
    x = 82,592,164.76/10,902.20
  6. Step 6: Final answer
    x = 7,575.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.