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Finding the Fourth Proportional to 7,586.96, 11,382.08 and 4,301.60

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Solution

The fourth proportional to 7,586.96, 11,382.08 and 4,301.60 is: 6,453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.96 : 11,382.08 = 4,301.60 : x
  2. Step 2: Convert to fraction form
    7,586.96/11,382.08 = 4,301.60/x
  3. Step 3: Cross multiply
    7,586.96x = 11,382.08 × 4,301.60
  4. Step 4: Simplify right side
    7,586.96x = 48,961,155.33
  5. Step 5: Solve for x
    x = 48,961,155.33/7,586.96
  6. Step 6: Final answer
    x = 6,453.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.