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Finding the Fourth Proportional to 7,533.75, 10,396.62 and 4,176.48

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Solution

The fourth proportional to 7,533.75, 10,396.62 and 4,176.48 is: 5,763.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.75 : 10,396.62 = 4,176.48 : x
  2. Step 2: Convert to fraction form
    7,533.75/10,396.62 = 4,176.48/x
  3. Step 3: Cross multiply
    7,533.75x = 10,396.62 × 4,176.48
  4. Step 4: Simplify right side
    7,533.75x = 43,421,275.50
  5. Step 5: Solve for x
    x = 43,421,275.50/7,533.75
  6. Step 6: Final answer
    x = 5,763.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.