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Finding the Fourth Proportional to 10,104.34, 15,163 and 4,907.38

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Solution

The fourth proportional to 10,104.34, 15,163 and 4,907.38 is: 7,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.34 : 15,163 = 4,907.38 : x
  2. Step 2: Convert to fraction form
    10,104.34/15,163 = 4,907.38/x
  3. Step 3: Cross multiply
    10,104.34x = 15,163 × 4,907.38
  4. Step 4: Simplify right side
    10,104.34x = 74,410,602.94
  5. Step 5: Solve for x
    x = 74,410,602.94/10,104.34
  6. Step 6: Final answer
    x = 7,364.22

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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.