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Finding the Fourth Proportional to 7,136.64, 10,696.32 and 3,024

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Solution

The fourth proportional to 7,136.64, 10,696.32 and 3,024 is: 4,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.64 : 10,696.32 = 3,024 : x
  2. Step 2: Convert to fraction form
    7,136.64/10,696.32 = 3,024/x
  3. Step 3: Cross multiply
    7,136.64x = 10,696.32 × 3,024
  4. Step 4: Simplify right side
    7,136.64x = 32,345,671.68
  5. Step 5: Solve for x
    x = 32,345,671.68/7,136.64
  6. Step 6: Final answer
    x = 4,532.34

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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.