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Finding the Fourth Proportional to 10,588.87, 14,621.93 and 6,616.77

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Solution

The fourth proportional to 10,588.87, 14,621.93 and 6,616.77 is: 9,136.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.87 : 14,621.93 = 6,616.77 : x
  2. Step 2: Convert to fraction form
    10,588.87/14,621.93 = 6,616.77/x
  3. Step 3: Cross multiply
    10,588.87x = 14,621.93 × 6,616.77
  4. Step 4: Simplify right side
    10,588.87x = 96,749,947.77
  5. Step 5: Solve for x
    x = 96,749,947.77/10,588.87
  6. Step 6: Final answer
    x = 9,136.95

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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.