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Finding the Fourth Proportional to 10,685.77, 16,030.49 and 3,290.07

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Solution

The fourth proportional to 10,685.77, 16,030.49 and 3,290.07 is: 4,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.77 : 16,030.49 = 3,290.07 : x
  2. Step 2: Convert to fraction form
    10,685.77/16,030.49 = 3,290.07/x
  3. Step 3: Cross multiply
    10,685.77x = 16,030.49 × 3,290.07
  4. Step 4: Simplify right side
    10,685.77x = 52,741,434.23
  5. Step 5: Solve for x
    x = 52,741,434.23/10,685.77
  6. Step 6: Final answer
    x = 4,935.67

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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.