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Finding the Fourth Proportional to 7,821.64, 10,790.20 and 5,696.25

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Solution

The fourth proportional to 7,821.64, 10,790.20 and 5,696.25 is: 7,858.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.64 : 10,790.20 = 5,696.25 : x
  2. Step 2: Convert to fraction form
    7,821.64/10,790.20 = 5,696.25/x
  3. Step 3: Cross multiply
    7,821.64x = 10,790.20 × 5,696.25
  4. Step 4: Simplify right side
    7,821.64x = 61,463,676.75
  5. Step 5: Solve for x
    x = 61,463,676.75/7,821.64
  6. Step 6: Final answer
    x = 7,858.16

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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.