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Finding the Fourth Proportional to 10,469.51, 15,707.19 and 4,233.90

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Solution

The fourth proportional to 10,469.51, 15,707.19 and 4,233.90 is: 6,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.51 : 15,707.19 = 4,233.90 : x
  2. Step 2: Convert to fraction form
    10,469.51/15,707.19 = 4,233.90/x
  3. Step 3: Cross multiply
    10,469.51x = 15,707.19 × 4,233.90
  4. Step 4: Simplify right side
    10,469.51x = 66,502,593.15
  5. Step 5: Solve for x
    x = 66,502,593.15/10,469.51
  6. Step 6: Final answer
    x = 6,352.03

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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.