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Finding the Fourth Proportional to 11,980.16, 17,970.25 and 5,398.66

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Solution

The fourth proportional to 11,980.16, 17,970.25 and 5,398.66 is: 8,097.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.16 : 17,970.25 = 5,398.66 : x
  2. Step 2: Convert to fraction form
    11,980.16/17,970.25 = 5,398.66/x
  3. Step 3: Cross multiply
    11,980.16x = 17,970.25 × 5,398.66
  4. Step 4: Simplify right side
    11,980.16x = 97,015,211.44
  5. Step 5: Solve for x
    x = 97,015,211.44/11,980.16
  6. Step 6: Final answer
    x = 8,097.99

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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.