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Finding the Fourth Proportional to 27,283, 40,930.85 and 8,562.01

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Solution

The fourth proportional to 27,283, 40,930.85 and 8,562.01 is: 12,845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,283 : 40,930.85 = 8,562.01 : x
  2. Step 2: Convert to fraction form
    27,283/40,930.85 = 8,562.01/x
  3. Step 3: Cross multiply
    27,283x = 40,930.85 × 8,562.01
  4. Step 4: Simplify right side
    27,283x = 350,450,347.01
  5. Step 5: Solve for x
    x = 350,450,347.01/27,283
  6. Step 6: Final answer
    x = 12,845.01

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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.