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Finding the Fourth Proportional to 7,309.85, 10,087.13 and 4,123.64

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Solution

The fourth proportional to 7,309.85, 10,087.13 and 4,123.64 is: 5,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.85 : 10,087.13 = 4,123.64 : x
  2. Step 2: Convert to fraction form
    7,309.85/10,087.13 = 4,123.64/x
  3. Step 3: Cross multiply
    7,309.85x = 10,087.13 × 4,123.64
  4. Step 4: Simplify right side
    7,309.85x = 41,595,728.28
  5. Step 5: Solve for x
    x = 41,595,728.28/7,309.85
  6. Step 6: Final answer
    x = 5,690.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.