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Finding the Fourth Proportional to 12,588.95, 17,372.87 and 6,846.46

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Solution

The fourth proportional to 12,588.95, 17,372.87 and 6,846.46 is: 9,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.95 : 17,372.87 = 6,846.46 : x
  2. Step 2: Convert to fraction form
    12,588.95/17,372.87 = 6,846.46/x
  3. Step 3: Cross multiply
    12,588.95x = 17,372.87 × 6,846.46
  4. Step 4: Simplify right side
    12,588.95x = 118,942,581.88
  5. Step 5: Solve for x
    x = 118,942,581.88/12,588.95
  6. Step 6: Final answer
    x = 9,448.17

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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.