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Finding the Fourth Proportional to 7,128.56, 10,732.46 and 6,176

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Solution

The fourth proportional to 7,128.56, 10,732.46 and 6,176 is: 9,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.56 : 10,732.46 = 6,176 : x
  2. Step 2: Convert to fraction form
    7,128.56/10,732.46 = 6,176/x
  3. Step 3: Cross multiply
    7,128.56x = 10,732.46 × 6,176
  4. Step 4: Simplify right side
    7,128.56x = 66,283,672.96
  5. Step 5: Solve for x
    x = 66,283,672.96/7,128.56
  6. Step 6: Final answer
    x = 9,298.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.