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Finding the Fourth Proportional to 13,040.17, 17,997.93 and 7,737.91

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Solution

The fourth proportional to 13,040.17, 17,997.93 and 7,737.91 is: 10,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040.17 : 17,997.93 = 7,737.91 : x
  2. Step 2: Convert to fraction form
    13,040.17/17,997.93 = 7,737.91/x
  3. Step 3: Cross multiply
    13,040.17x = 17,997.93 × 7,737.91
  4. Step 4: Simplify right side
    13,040.17x = 139,266,362.53
  5. Step 5: Solve for x
    x = 139,266,362.53/13,040.17
  6. Step 6: Final answer
    x = 10,679.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.