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Finding the Fourth Proportional to 7,533.65, 10,396.14 and 4,176.51

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Solution

The fourth proportional to 7,533.65, 10,396.14 and 4,176.51 is: 5,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.65 : 10,396.14 = 4,176.51 : x
  2. Step 2: Convert to fraction form
    7,533.65/10,396.14 = 4,176.51/x
  3. Step 3: Cross multiply
    7,533.65x = 10,396.14 × 4,176.51
  4. Step 4: Simplify right side
    7,533.65x = 43,419,582.67
  5. Step 5: Solve for x
    x = 43,419,582.67/7,533.65
  6. Step 6: Final answer
    x = 5,763.42

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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.