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Finding the Fourth Proportional to 11,397.46, 17,097.18 and 3,077.44

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Solution

The fourth proportional to 11,397.46, 17,097.18 and 3,077.44 is: 4,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.46 : 17,097.18 = 3,077.44 : x
  2. Step 2: Convert to fraction form
    11,397.46/17,097.18 = 3,077.44/x
  3. Step 3: Cross multiply
    11,397.46x = 17,097.18 × 3,077.44
  4. Step 4: Simplify right side
    11,397.46x = 52,615,587.51
  5. Step 5: Solve for x
    x = 52,615,587.51/11,397.46
  6. Step 6: Final answer
    x = 4,616.43

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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.