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Finding the Fourth Proportional to 11,397.60, 17,080.56 and 6,207.84

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Solution

The fourth proportional to 11,397.60, 17,080.56 and 6,207.84 is: 9,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.60 : 17,080.56 = 6,207.84 : x
  2. Step 2: Convert to fraction form
    11,397.60/17,080.56 = 6,207.84/x
  3. Step 3: Cross multiply
    11,397.60x = 17,080.56 × 6,207.84
  4. Step 4: Simplify right side
    11,397.60x = 106,033,383.59
  5. Step 5: Solve for x
    x = 106,033,383.59/11,397.60
  6. Step 6: Final answer
    x = 9,303.13

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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.