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Finding the Fourth Proportional to 10,852.60, 16,313.70 and 10,082.20

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Solution

The fourth proportional to 10,852.60, 16,313.70 and 10,082.20 is: 15,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.60 : 16,313.70 = 10,082.20 : x
  2. Step 2: Convert to fraction form
    10,852.60/16,313.70 = 10,082.20/x
  3. Step 3: Cross multiply
    10,852.60x = 16,313.70 × 10,082.20
  4. Step 4: Simplify right side
    10,852.60x = 164,477,986.14
  5. Step 5: Solve for x
    x = 164,477,986.14/10,852.60
  6. Step 6: Final answer
    x = 15,155.63

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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.