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Finding the Fourth Proportional to 26,365.37, 39,539.90 and 7,646.78

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Solution

The fourth proportional to 26,365.37, 39,539.90 and 7,646.78 is: 11,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,365.37 : 39,539.90 = 7,646.78 : x
  2. Step 2: Convert to fraction form
    26,365.37/39,539.90 = 7,646.78/x
  3. Step 3: Cross multiply
    26,365.37x = 39,539.90 × 7,646.78
  4. Step 4: Simplify right side
    26,365.37x = 302,352,827.64
  5. Step 5: Solve for x
    x = 302,352,827.64/26,365.37
  6. Step 6: Final answer
    x = 11,467.80

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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.