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Finding the Fourth Proportional to 10,210.61, 15,315.92 and 3,638.67

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Solution

The fourth proportional to 10,210.61, 15,315.92 and 3,638.67 is: 5,458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.61 : 15,315.92 = 3,638.67 : x
  2. Step 2: Convert to fraction form
    10,210.61/15,315.92 = 3,638.67/x
  3. Step 3: Cross multiply
    10,210.61x = 15,315.92 × 3,638.67
  4. Step 4: Simplify right side
    10,210.61x = 55,729,560.43
  5. Step 5: Solve for x
    x = 55,729,560.43/10,210.61
  6. Step 6: Final answer
    x = 5,458.01

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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.