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Finding the Fourth Proportional to 10,052.66, 15,084.07 and 4,786.69

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Solution

The fourth proportional to 10,052.66, 15,084.07 and 4,786.69 is: 7,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.66 : 15,084.07 = 4,786.69 : x
  2. Step 2: Convert to fraction form
    10,052.66/15,084.07 = 4,786.69/x
  3. Step 3: Cross multiply
    10,052.66x = 15,084.07 × 4,786.69
  4. Step 4: Simplify right side
    10,052.66x = 72,202,735.30
  5. Step 5: Solve for x
    x = 72,202,735.30/10,052.66
  6. Step 6: Final answer
    x = 7,182.45

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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.