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Finding the Fourth Proportional to 10,417.77, 14,379.54 and 5,943.96

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Solution

The fourth proportional to 10,417.77, 14,379.54 and 5,943.96 is: 8,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.77 : 14,379.54 = 5,943.96 : x
  2. Step 2: Convert to fraction form
    10,417.77/14,379.54 = 5,943.96/x
  3. Step 3: Cross multiply
    10,417.77x = 14,379.54 × 5,943.96
  4. Step 4: Simplify right side
    10,417.77x = 85,471,410.58
  5. Step 5: Solve for x
    x = 85,471,410.58/10,417.77
  6. Step 6: Final answer
    x = 8,204.39

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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.