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Finding the Fourth Proportional to 7,825.65, 10,802.34 and 5,176.68

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Solution

The fourth proportional to 7,825.65, 10,802.34 and 5,176.68 is: 7,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.65 : 10,802.34 = 5,176.68 : x
  2. Step 2: Convert to fraction form
    7,825.65/10,802.34 = 5,176.68/x
  3. Step 3: Cross multiply
    7,825.65x = 10,802.34 × 5,176.68
  4. Step 4: Simplify right side
    7,825.65x = 55,920,257.43
  5. Step 5: Solve for x
    x = 55,920,257.43/7,825.65
  6. Step 6: Final answer
    x = 7,145.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.