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Finding the Fourth Proportional to 7,793.65, 11,689.35 and 4,632.94

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Solution

The fourth proportional to 7,793.65, 11,689.35 and 4,632.94 is: 6,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.65 : 11,689.35 = 4,632.94 : x
  2. Step 2: Convert to fraction form
    7,793.65/11,689.35 = 4,632.94/x
  3. Step 3: Cross multiply
    7,793.65x = 11,689.35 × 4,632.94
  4. Step 4: Simplify right side
    7,793.65x = 54,156,057.19
  5. Step 5: Solve for x
    x = 54,156,057.19/7,793.65
  6. Step 6: Final answer
    x = 6,948.74

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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.