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Finding the Fourth Proportional to 7,851.57, 10,834.76 and 4,314.09

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Solution

The fourth proportional to 7,851.57, 10,834.76 and 4,314.09 is: 5,953.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.57 : 10,834.76 = 4,314.09 : x
  2. Step 2: Convert to fraction form
    7,851.57/10,834.76 = 4,314.09/x
  3. Step 3: Cross multiply
    7,851.57x = 10,834.76 × 4,314.09
  4. Step 4: Simplify right side
    7,851.57x = 46,742,146.07
  5. Step 5: Solve for x
    x = 46,742,146.07/7,851.57
  6. Step 6: Final answer
    x = 5,953.23

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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.