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Finding the Fourth Proportional to 12,797.46, 17,664.48 and 7,490.34

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Solution

The fourth proportional to 12,797.46, 17,664.48 and 7,490.34 is: 10,339.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.46 : 17,664.48 = 7,490.34 : x
  2. Step 2: Convert to fraction form
    12,797.46/17,664.48 = 7,490.34/x
  3. Step 3: Cross multiply
    12,797.46x = 17,664.48 × 7,490.34
  4. Step 4: Simplify right side
    12,797.46x = 132,312,961.12
  5. Step 5: Solve for x
    x = 132,312,961.12/12,797.46
  6. Step 6: Final answer
    x = 10,339.00

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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.