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Finding the Fourth Proportional to 10,611.28, 14,628.36 and 7,457.68

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Solution

The fourth proportional to 10,611.28, 14,628.36 and 7,457.68 is: 10,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.28 : 14,628.36 = 7,457.68 : x
  2. Step 2: Convert to fraction form
    10,611.28/14,628.36 = 7,457.68/x
  3. Step 3: Cross multiply
    10,611.28x = 14,628.36 × 7,457.68
  4. Step 4: Simplify right side
    10,611.28x = 109,093,627.80
  5. Step 5: Solve for x
    x = 109,093,627.80/10,611.28
  6. Step 6: Final answer
    x = 10,280.91

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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.