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Finding the Fourth Proportional to 8,429.25, 11,632.73 and 4,703.25

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Solution

The fourth proportional to 8,429.25, 11,632.73 and 4,703.25 is: 6,490.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.25 : 11,632.73 = 4,703.25 : x
  2. Step 2: Convert to fraction form
    8,429.25/11,632.73 = 4,703.25/x
  3. Step 3: Cross multiply
    8,429.25x = 11,632.73 × 4,703.25
  4. Step 4: Simplify right side
    8,429.25x = 54,711,637.37
  5. Step 5: Solve for x
    x = 54,711,637.37/8,429.25
  6. Step 6: Final answer
    x = 6,490.69

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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.