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Finding the Fourth Proportional to 10,029.34, 13,836.13 and 6,048.24

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Solution

The fourth proportional to 10,029.34, 13,836.13 and 6,048.24 is: 8,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.34 : 13,836.13 = 6,048.24 : x
  2. Step 2: Convert to fraction form
    10,029.34/13,836.13 = 6,048.24/x
  3. Step 3: Cross multiply
    10,029.34x = 13,836.13 × 6,048.24
  4. Step 4: Simplify right side
    10,029.34x = 83,684,135.49
  5. Step 5: Solve for x
    x = 83,684,135.49/10,029.34
  6. Step 6: Final answer
    x = 8,343.94

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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.