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Finding the Fourth Proportional to 10,394.64, 15,591.49 and 3,820.35

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Solution

The fourth proportional to 10,394.64, 15,591.49 and 3,820.35 is: 5,730.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.64 : 15,591.49 = 3,820.35 : x
  2. Step 2: Convert to fraction form
    10,394.64/15,591.49 = 3,820.35/x
  3. Step 3: Cross multiply
    10,394.64x = 15,591.49 × 3,820.35
  4. Step 4: Simplify right side
    10,394.64x = 59,564,948.82
  5. Step 5: Solve for x
    x = 59,564,948.82/10,394.64
  6. Step 6: Final answer
    x = 5,730.35

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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.