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Finding the Fourth Proportional to 7,356.83, 10,157.28 and 5,675.31

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Solution

The fourth proportional to 7,356.83, 10,157.28 and 5,675.31 is: 7,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356.83 : 10,157.28 = 5,675.31 : x
  2. Step 2: Convert to fraction form
    7,356.83/10,157.28 = 5,675.31/x
  3. Step 3: Cross multiply
    7,356.83x = 10,157.28 × 5,675.31
  4. Step 4: Simplify right side
    7,356.83x = 57,645,684.38
  5. Step 5: Solve for x
    x = 57,645,684.38/7,356.83
  6. Step 6: Final answer
    x = 7,835.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.