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Finding the Fourth Proportional to 7,651.76, 11,476.12 and 2,103.67

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Solution

The fourth proportional to 7,651.76, 11,476.12 and 2,103.67 is: 3,155.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.76 : 11,476.12 = 2,103.67 : x
  2. Step 2: Convert to fraction form
    7,651.76/11,476.12 = 2,103.67/x
  3. Step 3: Cross multiply
    7,651.76x = 11,476.12 × 2,103.67
  4. Step 4: Simplify right side
    7,651.76x = 24,141,901.46
  5. Step 5: Solve for x
    x = 24,141,901.46/7,651.76
  6. Step 6: Final answer
    x = 3,155.08

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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.