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Finding the Fourth Proportional to 10,172.03, 14,031.54 and 7,336.22

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Solution

The fourth proportional to 10,172.03, 14,031.54 and 7,336.22 is: 10,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.03 : 14,031.54 = 7,336.22 : x
  2. Step 2: Convert to fraction form
    10,172.03/14,031.54 = 7,336.22/x
  3. Step 3: Cross multiply
    10,172.03x = 14,031.54 × 7,336.22
  4. Step 4: Simplify right side
    10,172.03x = 102,938,394.22
  5. Step 5: Solve for x
    x = 102,938,394.22/10,172.03
  6. Step 6: Final answer
    x = 10,119.75

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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.