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Finding the Fourth Proportional to 10,072.60, 15,104.95 and 3,829.30

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Solution

The fourth proportional to 10,072.60, 15,104.95 and 3,829.30 is: 5,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.60 : 15,104.95 = 3,829.30 : x
  2. Step 2: Convert to fraction form
    10,072.60/15,104.95 = 3,829.30/x
  3. Step 3: Cross multiply
    10,072.60x = 15,104.95 × 3,829.30
  4. Step 4: Simplify right side
    10,072.60x = 57,841,385.04
  5. Step 5: Solve for x
    x = 57,841,385.04/10,072.60
  6. Step 6: Final answer
    x = 5,742.45

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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.