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Finding the Fourth Proportional to 7,533.05, 10,394.90 and 4,175.69

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Solution

The fourth proportional to 7,533.05, 10,394.90 and 4,175.69 is: 5,762.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.05 : 10,394.90 = 4,175.69 : x
  2. Step 2: Convert to fraction form
    7,533.05/10,394.90 = 4,175.69/x
  3. Step 3: Cross multiply
    7,533.05x = 10,394.90 × 4,175.69
  4. Step 4: Simplify right side
    7,533.05x = 43,405,916.41
  5. Step 5: Solve for x
    x = 43,405,916.41/7,533.05
  6. Step 6: Final answer
    x = 5,762.07

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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.