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Finding the Fourth Proportional to 10,605.91, 15,893.82 and 7,810.66

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Solution

The fourth proportional to 10,605.91, 15,893.82 and 7,810.66 is: 11,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.91 : 15,893.82 = 7,810.66 : x
  2. Step 2: Convert to fraction form
    10,605.91/15,893.82 = 7,810.66/x
  3. Step 3: Cross multiply
    10,605.91x = 15,893.82 × 7,810.66
  4. Step 4: Simplify right side
    10,605.91x = 124,141,224.12
  5. Step 5: Solve for x
    x = 124,141,224.12/10,605.91
  6. Step 6: Final answer
    x = 11,704.91

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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.