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Finding the Fourth Proportional to 10,490.33, 15,735.47 and 3,094.86

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Solution

The fourth proportional to 10,490.33, 15,735.47 and 3,094.86 is: 4,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.33 : 15,735.47 = 3,094.86 : x
  2. Step 2: Convert to fraction form
    10,490.33/15,735.47 = 3,094.86/x
  3. Step 3: Cross multiply
    10,490.33x = 15,735.47 × 3,094.86
  4. Step 4: Simplify right side
    10,490.33x = 48,699,061.21
  5. Step 5: Solve for x
    x = 48,699,061.21/10,490.33
  6. Step 6: Final answer
    x = 4,642.28

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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.