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Finding the Fourth Proportional to 7,533.69, 10,396.56 and 4,176.57

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Solution

The fourth proportional to 7,533.69, 10,396.56 and 4,176.57 is: 5,763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.69 : 10,396.56 = 4,176.57 : x
  2. Step 2: Convert to fraction form
    7,533.69/10,396.56 = 4,176.57/x
  3. Step 3: Cross multiply
    7,533.69x = 10,396.56 × 4,176.57
  4. Step 4: Simplify right side
    7,533.69x = 43,421,960.60
  5. Step 5: Solve for x
    x = 43,421,960.60/7,533.69
  6. Step 6: Final answer
    x = 5,763.70

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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.