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Finding the Fourth Proportional to 8,464.58, 12,700.46 and 4,564.44

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Solution

The fourth proportional to 8,464.58, 12,700.46 and 4,564.44 is: 6,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.58 : 12,700.46 = 4,564.44 : x
  2. Step 2: Convert to fraction form
    8,464.58/12,700.46 = 4,564.44/x
  3. Step 3: Cross multiply
    8,464.58x = 12,700.46 × 4,564.44
  4. Step 4: Simplify right side
    8,464.58x = 57,970,487.64
  5. Step 5: Solve for x
    x = 57,970,487.64/8,464.58
  6. Step 6: Final answer
    x = 6,848.60

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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.