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Finding the Fourth Proportional to 7,918.48, 10,918.56 and 5,922.64

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Solution

The fourth proportional to 7,918.48, 10,918.56 and 5,922.64 is: 8,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.48 : 10,918.56 = 5,922.64 : x
  2. Step 2: Convert to fraction form
    7,918.48/10,918.56 = 5,922.64/x
  3. Step 3: Cross multiply
    7,918.48x = 10,918.56 × 5,922.64
  4. Step 4: Simplify right side
    7,918.48x = 64,666,700.20
  5. Step 5: Solve for x
    x = 64,666,700.20/7,918.48
  6. Step 6: Final answer
    x = 8,166.55

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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.