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Finding the Fourth Proportional to 10,588.08, 15,884.74 and 7,474.19

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Solution

The fourth proportional to 10,588.08, 15,884.74 and 7,474.19 is: 11,213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.08 : 15,884.74 = 7,474.19 : x
  2. Step 2: Convert to fraction form
    10,588.08/15,884.74 = 7,474.19/x
  3. Step 3: Cross multiply
    10,588.08x = 15,884.74 × 7,474.19
  4. Step 4: Simplify right side
    10,588.08x = 118,725,485.44
  5. Step 5: Solve for x
    x = 118,725,485.44/10,588.08
  6. Step 6: Final answer
    x = 11,213.13

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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.