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Finding the Fourth Proportional to 8,271.48, 12,464.10 and 6,842.64

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Solution

The fourth proportional to 8,271.48, 12,464.10 and 6,842.64 is: 10,311.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.48 : 12,464.10 = 6,842.64 : x
  2. Step 2: Convert to fraction form
    8,271.48/12,464.10 = 6,842.64/x
  3. Step 3: Cross multiply
    8,271.48x = 12,464.10 × 6,842.64
  4. Step 4: Simplify right side
    8,271.48x = 85,287,349.22
  5. Step 5: Solve for x
    x = 85,287,349.22/8,271.48
  6. Step 6: Final answer
    x = 10,311.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.