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Finding the Fourth Proportional to 5,763.66, 8,632.36 and 5,098.65

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Solution

The fourth proportional to 5,763.66, 8,632.36 and 5,098.65 is: 7,636.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.66 : 8,632.36 = 5,098.65 : x
  2. Step 2: Convert to fraction form
    5,763.66/8,632.36 = 5,098.65/x
  3. Step 3: Cross multiply
    5,763.66x = 8,632.36 × 5,098.65
  4. Step 4: Simplify right side
    5,763.66x = 44,013,382.31
  5. Step 5: Solve for x
    x = 44,013,382.31/5,763.66
  6. Step 6: Final answer
    x = 7,636.36

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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.