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Finding the Fourth Proportional to 7,135.08, 10,706.64 and 3,848.08

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Solution

The fourth proportional to 7,135.08, 10,706.64 and 3,848.08 is: 5,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.08 : 10,706.64 = 3,848.08 : x
  2. Step 2: Convert to fraction form
    7,135.08/10,706.64 = 3,848.08/x
  3. Step 3: Cross multiply
    7,135.08x = 10,706.64 × 3,848.08
  4. Step 4: Simplify right side
    7,135.08x = 41,200,007.25
  5. Step 5: Solve for x
    x = 41,200,007.25/7,135.08
  6. Step 6: Final answer
    x = 5,774.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.