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Finding the Fourth Proportional to 8,071.25, 12,095.01 and 5,735.75

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Solution

The fourth proportional to 8,071.25, 12,095.01 and 5,735.75 is: 8,595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.25 : 12,095.01 = 5,735.75 : x
  2. Step 2: Convert to fraction form
    8,071.25/12,095.01 = 5,735.75/x
  3. Step 3: Cross multiply
    8,071.25x = 12,095.01 × 5,735.75
  4. Step 4: Simplify right side
    8,071.25x = 69,373,893.13
  5. Step 5: Solve for x
    x = 69,373,893.13/8,071.25
  6. Step 6: Final answer
    x = 8,595.19

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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.