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Finding the Fourth Proportional to 7,766.85, 11,650.29 and 4,070.16

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Solution

The fourth proportional to 7,766.85, 11,650.29 and 4,070.16 is: 6,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.85 : 11,650.29 = 4,070.16 : x
  2. Step 2: Convert to fraction form
    7,766.85/11,650.29 = 4,070.16/x
  3. Step 3: Cross multiply
    7,766.85x = 11,650.29 × 4,070.16
  4. Step 4: Simplify right side
    7,766.85x = 47,418,544.35
  5. Step 5: Solve for x
    x = 47,418,544.35/7,766.85
  6. Step 6: Final answer
    x = 6,105.25

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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.