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Finding the Fourth Proportional to 8,900, 12,281.76 and 4,921.01

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Solution

The fourth proportional to 8,900, 12,281.76 and 4,921.01 is: 6,790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900 : 12,281.76 = 4,921.01 : x
  2. Step 2: Convert to fraction form
    8,900/12,281.76 = 4,921.01/x
  3. Step 3: Cross multiply
    8,900x = 12,281.76 × 4,921.01
  4. Step 4: Simplify right side
    8,900x = 60,438,639.17
  5. Step 5: Solve for x
    x = 60,438,639.17/8,900
  6. Step 6: Final answer
    x = 6,790.86

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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.