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Finding the Fourth Proportional to 10,097.45, 15,147.03 and 3,076.84

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Solution

The fourth proportional to 10,097.45, 15,147.03 and 3,076.84 is: 4,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.45 : 15,147.03 = 3,076.84 : x
  2. Step 2: Convert to fraction form
    10,097.45/15,147.03 = 3,076.84/x
  3. Step 3: Cross multiply
    10,097.45x = 15,147.03 × 3,076.84
  4. Step 4: Simplify right side
    10,097.45x = 46,604,907.09
  5. Step 5: Solve for x
    x = 46,604,907.09/10,097.45
  6. Step 6: Final answer
    x = 4,615.51

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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.