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Finding the Fourth Proportional to 7,592.64, 11,389.50 and 4,477.20

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Solution

The fourth proportional to 7,592.64, 11,389.50 and 4,477.20 is: 6,716.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.64 : 11,389.50 = 4,477.20 : x
  2. Step 2: Convert to fraction form
    7,592.64/11,389.50 = 4,477.20/x
  3. Step 3: Cross multiply
    7,592.64x = 11,389.50 × 4,477.20
  4. Step 4: Simplify right side
    7,592.64x = 50,993,069.40
  5. Step 5: Solve for x
    x = 50,993,069.40/7,592.64
  6. Step 6: Final answer
    x = 6,716.12

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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.