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Finding the Fourth Proportional to 10,940.84, 15,097.44 and 6,464.36

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Solution

The fourth proportional to 10,940.84, 15,097.44 and 6,464.36 is: 8,920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.84 : 15,097.44 = 6,464.36 : x
  2. Step 2: Convert to fraction form
    10,940.84/15,097.44 = 6,464.36/x
  3. Step 3: Cross multiply
    10,940.84x = 15,097.44 × 6,464.36
  4. Step 4: Simplify right side
    10,940.84x = 97,595,287.24
  5. Step 5: Solve for x
    x = 97,595,287.24/10,940.84
  6. Step 6: Final answer
    x = 8,920.27

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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.