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Finding the Fourth Proportional to 7,737.05, 11,605.80 and 1,893.66

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Solution

The fourth proportional to 7,737.05, 11,605.80 and 1,893.66 is: 2,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.05 : 11,605.80 = 1,893.66 : x
  2. Step 2: Convert to fraction form
    7,737.05/11,605.80 = 1,893.66/x
  3. Step 3: Cross multiply
    7,737.05x = 11,605.80 × 1,893.66
  4. Step 4: Simplify right side
    7,737.05x = 21,977,402.81
  5. Step 5: Solve for x
    x = 21,977,402.81/7,737.05
  6. Step 6: Final answer
    x = 2,840.54

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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.