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Finding the Fourth Proportional to 7,864.65, 10,852.62 and 4,328.09

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Solution

The fourth proportional to 7,864.65, 10,852.62 and 4,328.09 is: 5,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.65 : 10,852.62 = 4,328.09 : x
  2. Step 2: Convert to fraction form
    7,864.65/10,852.62 = 4,328.09/x
  3. Step 3: Cross multiply
    7,864.65x = 10,852.62 × 4,328.09
  4. Step 4: Simplify right side
    7,864.65x = 46,971,086.30
  5. Step 5: Solve for x
    x = 46,971,086.30/7,864.65
  6. Step 6: Final answer
    x = 5,972.43

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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.