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Finding the Fourth Proportional to 10,294.70, 15,443.87 and 3,730.05

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Solution

The fourth proportional to 10,294.70, 15,443.87 and 3,730.05 is: 5,595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.70 : 15,443.87 = 3,730.05 : x
  2. Step 2: Convert to fraction form
    10,294.70/15,443.87 = 3,730.05/x
  3. Step 3: Cross multiply
    10,294.70x = 15,443.87 × 3,730.05
  4. Step 4: Simplify right side
    10,294.70x = 57,606,388.64
  5. Step 5: Solve for x
    x = 57,606,388.64/10,294.70
  6. Step 6: Final answer
    x = 5,595.74

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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.