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Finding the Fourth Proportional to 7,653.28, 11,453 and 4,690.80

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Solution

The fourth proportional to 7,653.28, 11,453 and 4,690.80 is: 7,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653.28 : 11,453 = 4,690.80 : x
  2. Step 2: Convert to fraction form
    7,653.28/11,453 = 4,690.80/x
  3. Step 3: Cross multiply
    7,653.28x = 11,453 × 4,690.80
  4. Step 4: Simplify right side
    7,653.28x = 53,723,732.40
  5. Step 5: Solve for x
    x = 53,723,732.40/7,653.28
  6. Step 6: Final answer
    x = 7,019.70

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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.