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Finding the Fourth Proportional to 7,817.60, 10,786.48 and 4,629.28

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Solution

The fourth proportional to 7,817.60, 10,786.48 and 4,629.28 is: 6,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.60 : 10,786.48 = 4,629.28 : x
  2. Step 2: Convert to fraction form
    7,817.60/10,786.48 = 4,629.28/x
  3. Step 3: Cross multiply
    7,817.60x = 10,786.48 × 4,629.28
  4. Step 4: Simplify right side
    7,817.60x = 49,933,636.13
  5. Step 5: Solve for x
    x = 49,933,636.13/7,817.60
  6. Step 6: Final answer
    x = 6,387.34

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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.