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Finding the Fourth Proportional to 7,774.16, 10,728.23 and 4,237.38

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Solution

The fourth proportional to 7,774.16, 10,728.23 and 4,237.38 is: 5,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.16 : 10,728.23 = 4,237.38 : x
  2. Step 2: Convert to fraction form
    7,774.16/10,728.23 = 4,237.38/x
  3. Step 3: Cross multiply
    7,774.16x = 10,728.23 × 4,237.38
  4. Step 4: Simplify right side
    7,774.16x = 45,459,566.05
  5. Step 5: Solve for x
    x = 45,459,566.05/7,774.16
  6. Step 6: Final answer
    x = 5,847.53

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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.