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Finding the Fourth Proportional to 7,565.54, 10,431.34 and 6,308.42

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Solution

The fourth proportional to 7,565.54, 10,431.34 and 6,308.42 is: 8,698.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.54 : 10,431.34 = 6,308.42 : x
  2. Step 2: Convert to fraction form
    7,565.54/10,431.34 = 6,308.42/x
  3. Step 3: Cross multiply
    7,565.54x = 10,431.34 × 6,308.42
  4. Step 4: Simplify right side
    7,565.54x = 65,805,273.88
  5. Step 5: Solve for x
    x = 65,805,273.88/7,565.54
  6. Step 6: Final answer
    x = 8,698.03

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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.