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Finding the Fourth Proportional to 12,145.74, 16,761.16 and 6,840.64

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Solution

The fourth proportional to 12,145.74, 16,761.16 and 6,840.64 is: 9,440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.74 : 16,761.16 = 6,840.64 : x
  2. Step 2: Convert to fraction form
    12,145.74/16,761.16 = 6,840.64/x
  3. Step 3: Cross multiply
    12,145.74x = 16,761.16 × 6,840.64
  4. Step 4: Simplify right side
    12,145.74x = 114,657,061.54
  5. Step 5: Solve for x
    x = 114,657,061.54/12,145.74
  6. Step 6: Final answer
    x = 9,440.11

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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.