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Finding the Fourth Proportional to 10,071.60, 15,103.46 and 3,828.30

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Solution

The fourth proportional to 10,071.60, 15,103.46 and 3,828.30 is: 5,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.60 : 15,103.46 = 3,828.30 : x
  2. Step 2: Convert to fraction form
    10,071.60/15,103.46 = 3,828.30/x
  3. Step 3: Cross multiply
    10,071.60x = 15,103.46 × 3,828.30
  4. Step 4: Simplify right side
    10,071.60x = 57,820,481.26
  5. Step 5: Solve for x
    x = 57,820,481.26/10,071.60
  6. Step 6: Final answer
    x = 5,740.95

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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.