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Finding the Fourth Proportional to 10,430.19, 15,644.78 and 3,409.31

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Solution

The fourth proportional to 10,430.19, 15,644.78 and 3,409.31 is: 5,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.19 : 15,644.78 = 3,409.31 : x
  2. Step 2: Convert to fraction form
    10,430.19/15,644.78 = 3,409.31/x
  3. Step 3: Cross multiply
    10,430.19x = 15,644.78 × 3,409.31
  4. Step 4: Simplify right side
    10,430.19x = 53,337,952.54
  5. Step 5: Solve for x
    x = 53,337,952.54/10,430.19
  6. Step 6: Final answer
    x = 5,113.80

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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.