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Finding the Fourth Proportional to 11,097.36, 15,317.64 and 6,384.96

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Solution

The fourth proportional to 11,097.36, 15,317.64 and 6,384.96 is: 8,813.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.36 : 15,317.64 = 6,384.96 : x
  2. Step 2: Convert to fraction form
    11,097.36/15,317.64 = 6,384.96/x
  3. Step 3: Cross multiply
    11,097.36x = 15,317.64 × 6,384.96
  4. Step 4: Simplify right side
    11,097.36x = 97,802,518.69
  5. Step 5: Solve for x
    x = 97,802,518.69/11,097.36
  6. Step 6: Final answer
    x = 8,813.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.