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Finding the Fourth Proportional to 11,557.94, 15,949.05 and 6,523.39

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Solution

The fourth proportional to 11,557.94, 15,949.05 and 6,523.39 is: 9,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.94 : 15,949.05 = 6,523.39 : x
  2. Step 2: Convert to fraction form
    11,557.94/15,949.05 = 6,523.39/x
  3. Step 3: Cross multiply
    11,557.94x = 15,949.05 × 6,523.39
  4. Step 4: Simplify right side
    11,557.94x = 104,041,873.28
  5. Step 5: Solve for x
    x = 104,041,873.28/11,557.94
  6. Step 6: Final answer
    x = 9,001.77

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Why These Related Problems?

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