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Finding the Fourth Proportional to 5,300.87, 7,939.01 and 5,116.35

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Solution

The fourth proportional to 5,300.87, 7,939.01 and 5,116.35 is: 7,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.87 : 7,939.01 = 5,116.35 : x
  2. Step 2: Convert to fraction form
    5,300.87/7,939.01 = 5,116.35/x
  3. Step 3: Cross multiply
    5,300.87x = 7,939.01 × 5,116.35
  4. Step 4: Simplify right side
    5,300.87x = 40,618,728.23
  5. Step 5: Solve for x
    x = 40,618,728.23/5,300.87
  6. Step 6: Final answer
    x = 7,662.65

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