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Finding the Fourth Proportional to 7,612.83, 10,502.34 and 4,467.60

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Solution

The fourth proportional to 7,612.83, 10,502.34 and 4,467.60 is: 6,163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.83 : 10,502.34 = 4,467.60 : x
  2. Step 2: Convert to fraction form
    7,612.83/10,502.34 = 4,467.60/x
  3. Step 3: Cross multiply
    7,612.83x = 10,502.34 × 4,467.60
  4. Step 4: Simplify right side
    7,612.83x = 46,920,254.18
  5. Step 5: Solve for x
    x = 46,920,254.18/7,612.83
  6. Step 6: Final answer
    x = 6,163.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.