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Finding the Fourth Proportional to 7,533.75, 11,300.63 and 2,916.75

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Solution

The fourth proportional to 7,533.75, 11,300.63 and 2,916.75 is: 4,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.75 : 11,300.63 = 2,916.75 : x
  2. Step 2: Convert to fraction form
    7,533.75/11,300.63 = 2,916.75/x
  3. Step 3: Cross multiply
    7,533.75x = 11,300.63 × 2,916.75
  4. Step 4: Simplify right side
    7,533.75x = 32,961,097.97
  5. Step 5: Solve for x
    x = 32,961,097.97/7,533.75
  6. Step 6: Final answer
    x = 4,375.13

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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.