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Finding the Fourth Proportional to 10,512.63, 14,506.29 and 6,036.03

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Solution

The fourth proportional to 10,512.63, 14,506.29 and 6,036.03 is: 8,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.63 : 14,506.29 = 6,036.03 : x
  2. Step 2: Convert to fraction form
    10,512.63/14,506.29 = 6,036.03/x
  3. Step 3: Cross multiply
    10,512.63x = 14,506.29 × 6,036.03
  4. Step 4: Simplify right side
    10,512.63x = 87,560,401.63
  5. Step 5: Solve for x
    x = 87,560,401.63/10,512.63
  6. Step 6: Final answer
    x = 8,329.07

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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.