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Finding the Fourth Proportional to 7,820.65, 10,792.40 and 4,283.87

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Solution

The fourth proportional to 7,820.65, 10,792.40 and 4,283.87 is: 5,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.65 : 10,792.40 = 4,283.87 : x
  2. Step 2: Convert to fraction form
    7,820.65/10,792.40 = 4,283.87/x
  3. Step 3: Cross multiply
    7,820.65x = 10,792.40 × 4,283.87
  4. Step 4: Simplify right side
    7,820.65x = 46,233,163.21
  5. Step 5: Solve for x
    x = 46,233,163.21/7,820.65
  6. Step 6: Final answer
    x = 5,911.68

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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.