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Finding the Fourth Proportional to 11,733.40, 17,597.32 and 3,411.24

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Solution

The fourth proportional to 11,733.40, 17,597.32 and 3,411.24 is: 5,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,733.40 : 17,597.32 = 3,411.24 : x
  2. Step 2: Convert to fraction form
    11,733.40/17,597.32 = 3,411.24/x
  3. Step 3: Cross multiply
    11,733.40x = 17,597.32 × 3,411.24
  4. Step 4: Simplify right side
    11,733.40x = 60,028,681.88
  5. Step 5: Solve for x
    x = 60,028,681.88/11,733.40
  6. Step 6: Final answer
    x = 5,116.05

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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.