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Finding the Fourth Proportional to 8,304.96, 12,459.36 and 4,845.12

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Solution

The fourth proportional to 8,304.96, 12,459.36 and 4,845.12 is: 7,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.96 : 12,459.36 = 4,845.12 : x
  2. Step 2: Convert to fraction form
    8,304.96/12,459.36 = 4,845.12/x
  3. Step 3: Cross multiply
    8,304.96x = 12,459.36 × 4,845.12
  4. Step 4: Simplify right side
    8,304.96x = 60,367,094.32
  5. Step 5: Solve for x
    x = 60,367,094.32/8,304.96
  6. Step 6: Final answer
    x = 7,268.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.