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Finding the Fourth Proportional to 11,858.64, 17,782.78 and 4,457.92

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Solution

The fourth proportional to 11,858.64, 17,782.78 and 4,457.92 is: 6,684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.64 : 17,782.78 = 4,457.92 : x
  2. Step 2: Convert to fraction form
    11,858.64/17,782.78 = 4,457.92/x
  3. Step 3: Cross multiply
    11,858.64x = 17,782.78 × 4,457.92
  4. Step 4: Simplify right side
    11,858.64x = 79,274,210.62
  5. Step 5: Solve for x
    x = 79,274,210.62/11,858.64
  6. Step 6: Final answer
    x = 6,684.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.