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Finding the Fourth Proportional to 12,505.83, 17,257.95 and 6,840.56

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Solution

The fourth proportional to 12,505.83, 17,257.95 and 6,840.56 is: 9,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.83 : 17,257.95 = 6,840.56 : x
  2. Step 2: Convert to fraction form
    12,505.83/17,257.95 = 6,840.56/x
  3. Step 3: Cross multiply
    12,505.83x = 17,257.95 × 6,840.56
  4. Step 4: Simplify right side
    12,505.83x = 118,053,956.16
  5. Step 5: Solve for x
    x = 118,053,956.16/12,505.83
  6. Step 6: Final answer
    x = 9,439.91

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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.