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Finding the Fourth Proportional to 10,126.62, 13,974.26 and 7,473.06

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Solution

The fourth proportional to 10,126.62, 13,974.26 and 7,473.06 is: 10,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.62 : 13,974.26 = 7,473.06 : x
  2. Step 2: Convert to fraction form
    10,126.62/13,974.26 = 7,473.06/x
  3. Step 3: Cross multiply
    10,126.62x = 13,974.26 × 7,473.06
  4. Step 4: Simplify right side
    10,126.62x = 104,430,483.44
  5. Step 5: Solve for x
    x = 104,430,483.44/10,126.62
  6. Step 6: Final answer
    x = 10,312.47

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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.