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Finding the Fourth Proportional to 8,070.74, 12,094.26 and 5,735.24

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Solution

The fourth proportional to 8,070.74, 12,094.26 and 5,735.24 is: 8,594.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.74 : 12,094.26 = 5,735.24 : x
  2. Step 2: Convert to fraction form
    8,070.74/12,094.26 = 5,735.24/x
  3. Step 3: Cross multiply
    8,070.74x = 12,094.26 × 5,735.24
  4. Step 4: Simplify right side
    8,070.74x = 69,363,483.72
  5. Step 5: Solve for x
    x = 69,363,483.72/8,070.74
  6. Step 6: Final answer
    x = 8,594.44

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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.