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Finding the Fourth Proportional to 10,046.40, 15,066.90 and 4,201.80

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Solution

The fourth proportional to 10,046.40, 15,066.90 and 4,201.80 is: 6,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.40 : 15,066.90 = 4,201.80 : x
  2. Step 2: Convert to fraction form
    10,046.40/15,066.90 = 4,201.80/x
  3. Step 3: Cross multiply
    10,046.40x = 15,066.90 × 4,201.80
  4. Step 4: Simplify right side
    10,046.40x = 63,308,100.42
  5. Step 5: Solve for x
    x = 63,308,100.42/10,046.40
  6. Step 6: Final answer
    x = 6,301.57

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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.