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Finding the Fourth Proportional to 7,878.48, 11,822.37 and 4,764.84

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Solution

The fourth proportional to 7,878.48, 11,822.37 and 4,764.84 is: 7,150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.48 : 11,822.37 = 4,764.84 : x
  2. Step 2: Convert to fraction form
    7,878.48/11,822.37 = 4,764.84/x
  3. Step 3: Cross multiply
    7,878.48x = 11,822.37 × 4,764.84
  4. Step 4: Simplify right side
    7,878.48x = 56,331,701.47
  5. Step 5: Solve for x
    x = 56,331,701.47/7,878.48
  6. Step 6: Final answer
    x = 7,150.07

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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.