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Finding the Fourth Proportional to 10,071.63, 15,104.04 and 3,830.16

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Solution

The fourth proportional to 10,071.63, 15,104.04 and 3,830.16 is: 5,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.63 : 15,104.04 = 3,830.16 : x
  2. Step 2: Convert to fraction form
    10,071.63/15,104.04 = 3,830.16/x
  3. Step 3: Cross multiply
    10,071.63x = 15,104.04 × 3,830.16
  4. Step 4: Simplify right side
    10,071.63x = 57,850,889.85
  5. Step 5: Solve for x
    x = 57,850,889.85/10,071.63
  6. Step 6: Final answer
    x = 5,743.95

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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.