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Finding the Fourth Proportional to 10,334.86, 15,503.32 and 3,313.10

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Solution

The fourth proportional to 10,334.86, 15,503.32 and 3,313.10 is: 4,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.86 : 15,503.32 = 3,313.10 : x
  2. Step 2: Convert to fraction form
    10,334.86/15,503.32 = 3,313.10/x
  3. Step 3: Cross multiply
    10,334.86x = 15,503.32 × 3,313.10
  4. Step 4: Simplify right side
    10,334.86x = 51,364,049.49
  5. Step 5: Solve for x
    x = 51,364,049.49/10,334.86
  6. Step 6: Final answer
    x = 4,969.98

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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.