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Finding the Fourth Proportional to 27,277.52, 40,916.74 and 8,557.11

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Solution

The fourth proportional to 27,277.52, 40,916.74 and 8,557.11 is: 12,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,277.52 : 40,916.74 = 8,557.11 : x
  2. Step 2: Convert to fraction form
    27,277.52/40,916.74 = 8,557.11/x
  3. Step 3: Cross multiply
    27,277.52x = 40,916.74 × 8,557.11
  4. Step 4: Simplify right side
    27,277.52x = 350,129,045.02
  5. Step 5: Solve for x
    x = 350,129,045.02/27,277.52
  6. Step 6: Final answer
    x = 12,835.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.