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Finding the Fourth Proportional to 7,533.62, 10,397.01 and 4,177.49

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Solution

The fourth proportional to 7,533.62, 10,397.01 and 4,177.49 is: 5,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.62 : 10,397.01 = 4,177.49 : x
  2. Step 2: Convert to fraction form
    7,533.62/10,397.01 = 4,177.49/x
  3. Step 3: Cross multiply
    7,533.62x = 10,397.01 × 4,177.49
  4. Step 4: Simplify right side
    7,533.62x = 43,433,345.49
  5. Step 5: Solve for x
    x = 43,433,345.49/7,533.62
  6. Step 6: Final answer
    x = 5,765.27

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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.