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Finding the Fourth Proportional to 10,643.86, 14,688.21 and 5,928.04

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Solution

The fourth proportional to 10,643.86, 14,688.21 and 5,928.04 is: 8,180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.86 : 14,688.21 = 5,928.04 : x
  2. Step 2: Convert to fraction form
    10,643.86/14,688.21 = 5,928.04/x
  3. Step 3: Cross multiply
    10,643.86x = 14,688.21 × 5,928.04
  4. Step 4: Simplify right side
    10,643.86x = 87,072,296.41
  5. Step 5: Solve for x
    x = 87,072,296.41/10,643.86
  6. Step 6: Final answer
    x = 8,180.52

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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.