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Finding the Fourth Proportional to 8,900, 12,282.72 and 5,174.72

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Solution

The fourth proportional to 8,900, 12,282.72 and 5,174.72 is: 7,141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900 : 12,282.72 = 5,174.72 : x
  2. Step 2: Convert to fraction form
    8,900/12,282.72 = 5,174.72/x
  3. Step 3: Cross multiply
    8,900x = 12,282.72 × 5,174.72
  4. Step 4: Simplify right side
    8,900x = 63,559,636.84
  5. Step 5: Solve for x
    x = 63,559,636.84/8,900
  6. Step 6: Final answer
    x = 7,141.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.