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Finding the Fourth Proportional to 10,430.30, 15,640.34 and 5,159.22

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Solution

The fourth proportional to 10,430.30, 15,640.34 and 5,159.22 is: 7,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.30 : 15,640.34 = 5,159.22 : x
  2. Step 2: Convert to fraction form
    10,430.30/15,640.34 = 5,159.22/x
  3. Step 3: Cross multiply
    10,430.30x = 15,640.34 × 5,159.22
  4. Step 4: Simplify right side
    10,430.30x = 80,691,929.14
  5. Step 5: Solve for x
    x = 80,691,929.14/10,430.30
  6. Step 6: Final answer
    x = 7,736.30

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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.