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Finding the Fourth Proportional to 10,643.68, 14,688.57 and 5,928.27

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Solution

The fourth proportional to 10,643.68, 14,688.57 and 5,928.27 is: 8,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.68 : 14,688.57 = 5,928.27 : x
  2. Step 2: Convert to fraction form
    10,643.68/14,688.57 = 5,928.27/x
  3. Step 3: Cross multiply
    10,643.68x = 14,688.57 × 5,928.27
  4. Step 4: Simplify right side
    10,643.68x = 87,077,808.87
  5. Step 5: Solve for x
    x = 87,077,808.87/10,643.68
  6. Step 6: Final answer
    x = 8,181.18

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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.