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Finding the Fourth Proportional to 11,957.17, 17,916.05 and 6,945.48

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Solution

The fourth proportional to 11,957.17, 17,916.05 and 6,945.48 is: 10,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.17 : 17,916.05 = 6,945.48 : x
  2. Step 2: Convert to fraction form
    11,957.17/17,916.05 = 6,945.48/x
  3. Step 3: Cross multiply
    11,957.17x = 17,916.05 × 6,945.48
  4. Step 4: Simplify right side
    11,957.17x = 124,435,566.95
  5. Step 5: Solve for x
    x = 124,435,566.95/11,957.17
  6. Step 6: Final answer
    x = 10,406.77

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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.