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Finding the Fourth Proportional to 7,885.20, 10,878.87 and 5,054.86

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Solution

The fourth proportional to 7,885.20, 10,878.87 and 5,054.86 is: 6,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.20 : 10,878.87 = 5,054.86 : x
  2. Step 2: Convert to fraction form
    7,885.20/10,878.87 = 5,054.86/x
  3. Step 3: Cross multiply
    7,885.20x = 10,878.87 × 5,054.86
  4. Step 4: Simplify right side
    7,885.20x = 54,991,164.81
  5. Step 5: Solve for x
    x = 54,991,164.81/7,885.20
  6. Step 6: Final answer
    x = 6,973.97

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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.