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Finding the Fourth Proportional to 11,435, 17,152.20 and 6,172.32

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Solution

The fourth proportional to 11,435, 17,152.20 and 6,172.32 is: 9,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435 : 17,152.20 = 6,172.32 : x
  2. Step 2: Convert to fraction form
    11,435/17,152.20 = 6,172.32/x
  3. Step 3: Cross multiply
    11,435x = 17,152.20 × 6,172.32
  4. Step 4: Simplify right side
    11,435x = 105,868,867.10
  5. Step 5: Solve for x
    x = 105,868,867.10/11,435
  6. Step 6: Final answer
    x = 9,258.32

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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.