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Finding the Fourth Proportional to 11,777.94, 17,669.64 and 3,458.58

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Solution

The fourth proportional to 11,777.94, 17,669.64 and 3,458.58 is: 5,188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.94 : 17,669.64 = 3,458.58 : x
  2. Step 2: Convert to fraction form
    11,777.94/17,669.64 = 3,458.58/x
  3. Step 3: Cross multiply
    11,777.94x = 17,669.64 × 3,458.58
  4. Step 4: Simplify right side
    11,777.94x = 61,111,863.51
  5. Step 5: Solve for x
    x = 61,111,863.51/11,777.94
  6. Step 6: Final answer
    x = 5,188.67

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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.