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Finding the Fourth Proportional to 7,848.48, 10,822.68 and 5,855.84

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Solution

The fourth proportional to 7,848.48, 10,822.68 and 5,855.84 is: 8,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.48 : 10,822.68 = 5,855.84 : x
  2. Step 2: Convert to fraction form
    7,848.48/10,822.68 = 5,855.84/x
  3. Step 3: Cross multiply
    7,848.48x = 10,822.68 × 5,855.84
  4. Step 4: Simplify right side
    7,848.48x = 63,375,882.45
  5. Step 5: Solve for x
    x = 63,375,882.45/7,848.48
  6. Step 6: Final answer
    x = 8,074.92

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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.