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Finding the Fourth Proportional to 10,164.34, 15,246.33 and 4,008.34

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Solution

The fourth proportional to 10,164.34, 15,246.33 and 4,008.34 is: 6,012.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.34 : 15,246.33 = 4,008.34 : x
  2. Step 2: Convert to fraction form
    10,164.34/15,246.33 = 4,008.34/x
  3. Step 3: Cross multiply
    10,164.34x = 15,246.33 × 4,008.34
  4. Step 4: Simplify right side
    10,164.34x = 61,112,474.39
  5. Step 5: Solve for x
    x = 61,112,474.39/10,164.34
  6. Step 6: Final answer
    x = 6,012.44

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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.