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Finding the Fourth Proportional to 11,670.96, 17,509.56 and 5,097.68

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Solution

The fourth proportional to 11,670.96, 17,509.56 and 5,097.68 is: 7,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.96 : 17,509.56 = 5,097.68 : x
  2. Step 2: Convert to fraction form
    11,670.96/17,509.56 = 5,097.68/x
  3. Step 3: Cross multiply
    11,670.96x = 17,509.56 × 5,097.68
  4. Step 4: Simplify right side
    11,670.96x = 89,258,133.82
  5. Step 5: Solve for x
    x = 89,258,133.82/11,670.96
  6. Step 6: Final answer
    x = 7,647.88

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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.