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Finding the Fourth Proportional to 7,259.70, 10,019.34 and 4,116

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Solution

The fourth proportional to 7,259.70, 10,019.34 and 4,116 is: 5,680.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.70 : 10,019.34 = 4,116 : x
  2. Step 2: Convert to fraction form
    7,259.70/10,019.34 = 4,116/x
  3. Step 3: Cross multiply
    7,259.70x = 10,019.34 × 4,116
  4. Step 4: Simplify right side
    7,259.70x = 41,239,603.44
  5. Step 5: Solve for x
    x = 41,239,603.44/7,259.70
  6. Step 6: Final answer
    x = 5,680.62

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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.