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Finding the Fourth Proportional to 10,334.80, 15,501.72 and 3,409.36

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Solution

The fourth proportional to 10,334.80, 15,501.72 and 3,409.36 is: 5,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.80 : 15,501.72 = 3,409.36 : x
  2. Step 2: Convert to fraction form
    10,334.80/15,501.72 = 3,409.36/x
  3. Step 3: Cross multiply
    10,334.80x = 15,501.72 × 3,409.36
  4. Step 4: Simplify right side
    10,334.80x = 52,850,944.10
  5. Step 5: Solve for x
    x = 52,850,944.10/10,334.80
  6. Step 6: Final answer
    x = 5,113.88

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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.