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Finding the Fourth Proportional to 10,490.33, 15,735.47 and 3,094.85

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Solution

The fourth proportional to 10,490.33, 15,735.47 and 3,094.85 is: 4,642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.33 : 15,735.47 = 3,094.85 : x
  2. Step 2: Convert to fraction form
    10,490.33/15,735.47 = 3,094.85/x
  3. Step 3: Cross multiply
    10,490.33x = 15,735.47 × 3,094.85
  4. Step 4: Simplify right side
    10,490.33x = 48,698,943.19
  5. Step 5: Solve for x
    x = 48,698,943.19/10,490.33
  6. Step 6: Final answer
    x = 4,642.27

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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.