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Finding the Fourth Proportional to 8,902.72, 13,349.58 and 2,977.48

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Solution

The fourth proportional to 8,902.72, 13,349.58 and 2,977.48 is: 4,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.72 : 13,349.58 = 2,977.48 : x
  2. Step 2: Convert to fraction form
    8,902.72/13,349.58 = 2,977.48/x
  3. Step 3: Cross multiply
    8,902.72x = 13,349.58 × 2,977.48
  4. Step 4: Simplify right side
    8,902.72x = 39,748,107.46
  5. Step 5: Solve for x
    x = 39,748,107.46/8,902.72
  6. Step 6: Final answer
    x = 4,464.71

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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.