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Finding the Fourth Proportional to 7,133.10, 10,702.08 and 3,846.51

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Solution

The fourth proportional to 7,133.10, 10,702.08 and 3,846.51 is: 5,771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.10 : 10,702.08 = 3,846.51 : x
  2. Step 2: Convert to fraction form
    7,133.10/10,702.08 = 3,846.51/x
  3. Step 3: Cross multiply
    7,133.10x = 10,702.08 × 3,846.51
  4. Step 4: Simplify right side
    7,133.10x = 41,165,657.74
  5. Step 5: Solve for x
    x = 41,165,657.74/7,133.10
  6. Step 6: Final answer
    x = 5,771.08

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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.