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Finding the Fourth Proportional to 8,534.56, 11,775.70 and 5,176.70

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Solution

The fourth proportional to 8,534.56, 11,775.70 and 5,176.70 is: 7,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.56 : 11,775.70 = 5,176.70 : x
  2. Step 2: Convert to fraction form
    8,534.56/11,775.70 = 5,176.70/x
  3. Step 3: Cross multiply
    8,534.56x = 11,775.70 × 5,176.70
  4. Step 4: Simplify right side
    8,534.56x = 60,959,282.69
  5. Step 5: Solve for x
    x = 60,959,282.69/8,534.56
  6. Step 6: Final answer
    x = 7,142.64

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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.