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Finding the Fourth Proportional to 8,540.56, 12,822.88 and 4,850

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Solution

The fourth proportional to 8,540.56, 12,822.88 and 4,850 is: 7,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.56 : 12,822.88 = 4,850 : x
  2. Step 2: Convert to fraction form
    8,540.56/12,822.88 = 4,850/x
  3. Step 3: Cross multiply
    8,540.56x = 12,822.88 × 4,850
  4. Step 4: Simplify right side
    8,540.56x = 62,190,968.00
  5. Step 5: Solve for x
    x = 62,190,968.00/8,540.56
  6. Step 6: Final answer
    x = 7,281.84

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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.