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Finding the Fourth Proportional to 10,094.59, 15,140.09 and 3,072.90

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Solution

The fourth proportional to 10,094.59, 15,140.09 and 3,072.90 is: 4,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.59 : 15,140.09 = 3,072.90 : x
  2. Step 2: Convert to fraction form
    10,094.59/15,140.09 = 3,072.90/x
  3. Step 3: Cross multiply
    10,094.59x = 15,140.09 × 3,072.90
  4. Step 4: Simplify right side
    10,094.59x = 46,523,891.50
  5. Step 5: Solve for x
    x = 46,523,891.50/10,094.59
  6. Step 6: Final answer
    x = 4,608.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.