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Finding the Fourth Proportional to 7,703.64, 11,555.46 and 4,414.47

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Solution

The fourth proportional to 7,703.64, 11,555.46 and 4,414.47 is: 6,621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.64 : 11,555.46 = 4,414.47 : x
  2. Step 2: Convert to fraction form
    7,703.64/11,555.46 = 4,414.47/x
  3. Step 3: Cross multiply
    7,703.64x = 11,555.46 × 4,414.47
  4. Step 4: Simplify right side
    7,703.64x = 51,011,231.51
  5. Step 5: Solve for x
    x = 51,011,231.51/7,703.64
  6. Step 6: Final answer
    x = 6,621.71

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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.