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Finding the Fourth Proportional to 10,625.36, 14,662.98 and 5,910.57

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Solution

The fourth proportional to 10,625.36, 14,662.98 and 5,910.57 is: 8,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.36 : 14,662.98 = 5,910.57 : x
  2. Step 2: Convert to fraction form
    10,625.36/14,662.98 = 5,910.57/x
  3. Step 3: Cross multiply
    10,625.36x = 14,662.98 × 5,910.57
  4. Step 4: Simplify right side
    10,625.36x = 86,666,569.70
  5. Step 5: Solve for x
    x = 86,666,569.70/10,625.36
  6. Step 6: Final answer
    x = 8,156.58

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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.