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Finding the Fourth Proportional to 11,454.98, 17,182.34 and 6,457.74

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Solution

The fourth proportional to 11,454.98, 17,182.34 and 6,457.74 is: 9,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.98 : 17,182.34 = 6,457.74 : x
  2. Step 2: Convert to fraction form
    11,454.98/17,182.34 = 6,457.74/x
  3. Step 3: Cross multiply
    11,454.98x = 17,182.34 × 6,457.74
  4. Step 4: Simplify right side
    11,454.98x = 110,959,084.31
  5. Step 5: Solve for x
    x = 110,959,084.31/11,454.98
  6. Step 6: Final answer
    x = 9,686.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.