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Finding the Fourth Proportional to 10,558.77, 15,858.65 and 7,774.44

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Solution

The fourth proportional to 10,558.77, 15,858.65 and 7,774.44 is: 11,676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.77 : 15,858.65 = 7,774.44 : x
  2. Step 2: Convert to fraction form
    10,558.77/15,858.65 = 7,774.44/x
  3. Step 3: Cross multiply
    10,558.77x = 15,858.65 × 7,774.44
  4. Step 4: Simplify right side
    10,558.77x = 123,292,172.08
  5. Step 5: Solve for x
    x = 123,292,172.08/10,558.77
  6. Step 6: Final answer
    x = 11,676.76

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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.