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Finding the Fourth Proportional to 7,648.56, 11,458.04 and 4,478.32

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Solution

The fourth proportional to 7,648.56, 11,458.04 and 4,478.32 is: 6,708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.56 : 11,458.04 = 4,478.32 : x
  2. Step 2: Convert to fraction form
    7,648.56/11,458.04 = 4,478.32/x
  3. Step 3: Cross multiply
    7,648.56x = 11,458.04 × 4,478.32
  4. Step 4: Simplify right side
    7,648.56x = 51,312,769.69
  5. Step 5: Solve for x
    x = 51,312,769.69/7,648.56
  6. Step 6: Final answer
    x = 6,708.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.