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Finding the Fourth Proportional to 10,350.03, 15,504.69 and 6,829.29

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Solution

The fourth proportional to 10,350.03, 15,504.69 and 6,829.29 is: 10,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350.03 : 15,504.69 = 6,829.29 : x
  2. Step 2: Convert to fraction form
    10,350.03/15,504.69 = 6,829.29/x
  3. Step 3: Cross multiply
    10,350.03x = 15,504.69 × 6,829.29
  4. Step 4: Simplify right side
    10,350.03x = 105,886,024.37
  5. Step 5: Solve for x
    x = 105,886,024.37/10,350.03
  6. Step 6: Final answer
    x = 10,230.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.