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Finding the Fourth Proportional to 10,029.91, 13,836.99 and 6,048.76

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Solution

The fourth proportional to 10,029.91, 13,836.99 and 6,048.76 is: 8,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.91 : 13,836.99 = 6,048.76 : x
  2. Step 2: Convert to fraction form
    10,029.91/13,836.99 = 6,048.76/x
  3. Step 3: Cross multiply
    10,029.91x = 13,836.99 × 6,048.76
  4. Step 4: Simplify right side
    10,029.91x = 83,696,631.63
  5. Step 5: Solve for x
    x = 83,696,631.63/10,029.91
  6. Step 6: Final answer
    x = 8,344.70

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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.