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Finding the Fourth Proportional to 8,077.54, 12,114.27 and 5,730.70

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Solution

The fourth proportional to 8,077.54, 12,114.27 and 5,730.70 is: 8,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.54 : 12,114.27 = 5,730.70 : x
  2. Step 2: Convert to fraction form
    8,077.54/12,114.27 = 5,730.70/x
  3. Step 3: Cross multiply
    8,077.54x = 12,114.27 × 5,730.70
  4. Step 4: Simplify right side
    8,077.54x = 69,423,247.09
  5. Step 5: Solve for x
    x = 69,423,247.09/8,077.54
  6. Step 6: Final answer
    x = 8,594.60

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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.