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Finding the Fourth Proportional to 10,449.29, 15,674.27 and 3,053.12

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Solution

The fourth proportional to 10,449.29, 15,674.27 and 3,053.12 is: 4,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.29 : 15,674.27 = 3,053.12 : x
  2. Step 2: Convert to fraction form
    10,449.29/15,674.27 = 3,053.12/x
  3. Step 3: Cross multiply
    10,449.29x = 15,674.27 × 3,053.12
  4. Step 4: Simplify right side
    10,449.29x = 47,855,333.59
  5. Step 5: Solve for x
    x = 47,855,333.59/10,449.29
  6. Step 6: Final answer
    x = 4,579.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.