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Finding the Fourth Proportional to 10,612.35, 14,643.99 and 5,896.17

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Solution

The fourth proportional to 10,612.35, 14,643.99 and 5,896.17 is: 8,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.35 : 14,643.99 = 5,896.17 : x
  2. Step 2: Convert to fraction form
    10,612.35/14,643.99 = 5,896.17/x
  3. Step 3: Cross multiply
    10,612.35x = 14,643.99 × 5,896.17
  4. Step 4: Simplify right side
    10,612.35x = 86,343,454.52
  5. Step 5: Solve for x
    x = 86,343,454.52/10,612.35
  6. Step 6: Final answer
    x = 8,136.13

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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.