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Finding the Fourth Proportional to 7,015.75, 9,681.67 and 3,829.10

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Solution

The fourth proportional to 7,015.75, 9,681.67 and 3,829.10 is: 5,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.75 : 9,681.67 = 3,829.10 : x
  2. Step 2: Convert to fraction form
    7,015.75/9,681.67 = 3,829.10/x
  3. Step 3: Cross multiply
    7,015.75x = 9,681.67 × 3,829.10
  4. Step 4: Simplify right side
    7,015.75x = 37,072,097.23
  5. Step 5: Solve for x
    x = 37,072,097.23/7,015.75
  6. Step 6: Final answer
    x = 5,284.13

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Why These Related Problems?

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