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Finding the Fourth Proportional to 7,436.81, 11,157.64 and 5,798.99

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Solution

The fourth proportional to 7,436.81, 11,157.64 and 5,798.99 is: 8,700.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,436.81 : 11,157.64 = 5,798.99 : x
  2. Step 2: Convert to fraction form
    7,436.81/11,157.64 = 5,798.99/x
  3. Step 3: Cross multiply
    7,436.81x = 11,157.64 × 5,798.99
  4. Step 4: Simplify right side
    7,436.81x = 64,702,972.50
  5. Step 5: Solve for x
    x = 64,702,972.50/7,436.81
  6. Step 6: Final answer
    x = 8,700.37

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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.