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Finding the Fourth Proportional to 10,643.71, 14,688.78 and 5,927.99

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Solution

The fourth proportional to 10,643.71, 14,688.78 and 5,927.99 is: 8,180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.71 : 14,688.78 = 5,927.99 : x
  2. Step 2: Convert to fraction form
    10,643.71/14,688.78 = 5,927.99/x
  3. Step 3: Cross multiply
    10,643.71x = 14,688.78 × 5,927.99
  4. Step 4: Simplify right side
    10,643.71x = 87,074,962.85
  5. Step 5: Solve for x
    x = 87,074,962.85/10,643.71
  6. Step 6: Final answer
    x = 8,180.88

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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.