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Finding the Fourth Proportional to 11,858.14, 17,775.06 and 4,457.44

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Solution

The fourth proportional to 11,858.14, 17,775.06 and 4,457.44 is: 6,681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.14 : 17,775.06 = 4,457.44 : x
  2. Step 2: Convert to fraction form
    11,858.14/17,775.06 = 4,457.44/x
  3. Step 3: Cross multiply
    11,858.14x = 17,775.06 × 4,457.44
  4. Step 4: Simplify right side
    11,858.14x = 79,231,263.45
  5. Step 5: Solve for x
    x = 79,231,263.45/11,858.14
  6. Step 6: Final answer
    x = 6,681.59

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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.