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Finding the Fourth Proportional to 7,284.96, 10,052.96 and 4,457.04

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Solution

The fourth proportional to 7,284.96, 10,052.96 and 4,457.04 is: 6,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.96 : 10,052.96 = 4,457.04 : x
  2. Step 2: Convert to fraction form
    7,284.96/10,052.96 = 4,457.04/x
  3. Step 3: Cross multiply
    7,284.96x = 10,052.96 × 4,457.04
  4. Step 4: Simplify right side
    7,284.96x = 44,806,444.84
  5. Step 5: Solve for x
    x = 44,806,444.84/7,284.96
  6. Step 6: Final answer
    x = 6,150.54

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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.