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Finding the Fourth Proportional to 11,477.14, 15,840.04 and 6,441.66

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Solution

The fourth proportional to 11,477.14, 15,840.04 and 6,441.66 is: 8,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.14 : 15,840.04 = 6,441.66 : x
  2. Step 2: Convert to fraction form
    11,477.14/15,840.04 = 6,441.66/x
  3. Step 3: Cross multiply
    11,477.14x = 15,840.04 × 6,441.66
  4. Step 4: Simplify right side
    11,477.14x = 102,036,135.96
  5. Step 5: Solve for x
    x = 102,036,135.96/11,477.14
  6. Step 6: Final answer
    x = 8,890.38

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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.