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Finding the Fourth Proportional to 8,429.54, 11,632.75 and 4,703.54

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Solution

The fourth proportional to 8,429.54, 11,632.75 and 4,703.54 is: 6,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.54 : 11,632.75 = 4,703.54 : x
  2. Step 2: Convert to fraction form
    8,429.54/11,632.75 = 4,703.54/x
  3. Step 3: Cross multiply
    8,429.54x = 11,632.75 × 4,703.54
  4. Step 4: Simplify right side
    8,429.54x = 54,715,104.94
  5. Step 5: Solve for x
    x = 54,715,104.94/8,429.54
  6. Step 6: Final answer
    x = 6,490.88

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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.