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Finding the Fourth Proportional to 10,612.41, 14,640.94 and 6,135.34

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Solution

The fourth proportional to 10,612.41, 14,640.94 and 6,135.34 is: 8,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.41 : 14,640.94 = 6,135.34 : x
  2. Step 2: Convert to fraction form
    10,612.41/14,640.94 = 6,135.34/x
  3. Step 3: Cross multiply
    10,612.41x = 14,640.94 × 6,135.34
  4. Step 4: Simplify right side
    10,612.41x = 89,827,114.14
  5. Step 5: Solve for x
    x = 89,827,114.14/10,612.41
  6. Step 6: Final answer
    x = 8,464.35

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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.