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Finding the Fourth Proportional to 8,464.40, 12,699.63 and 3,784.02

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Solution

The fourth proportional to 8,464.40, 12,699.63 and 3,784.02 is: 5,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.40 : 12,699.63 = 3,784.02 : x
  2. Step 2: Convert to fraction form
    8,464.40/12,699.63 = 3,784.02/x
  3. Step 3: Cross multiply
    8,464.40x = 12,699.63 × 3,784.02
  4. Step 4: Simplify right side
    8,464.40x = 48,055,653.91
  5. Step 5: Solve for x
    x = 48,055,653.91/8,464.40
  6. Step 6: Final answer
    x = 5,677.38

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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.