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Finding the Fourth Proportional to 7,533.81, 10,396.60 and 4,176.62

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Solution

The fourth proportional to 7,533.81, 10,396.60 and 4,176.62 is: 5,763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.81 : 10,396.60 = 4,176.62 : x
  2. Step 2: Convert to fraction form
    7,533.81/10,396.60 = 4,176.62/x
  3. Step 3: Cross multiply
    7,533.81x = 10,396.60 × 4,176.62
  4. Step 4: Simplify right side
    7,533.81x = 43,422,595.51
  5. Step 5: Solve for x
    x = 43,422,595.51/7,533.81
  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.