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Finding the Fourth Proportional to 7,673.60, 10,592.64 and 4,882.56

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Solution

The fourth proportional to 7,673.60, 10,592.64 and 4,882.56 is: 6,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.60 : 10,592.64 = 4,882.56 : x
  2. Step 2: Convert to fraction form
    7,673.60/10,592.64 = 4,882.56/x
  3. Step 3: Cross multiply
    7,673.60x = 10,592.64 × 4,882.56
  4. Step 4: Simplify right side
    7,673.60x = 51,719,200.36
  5. Step 5: Solve for x
    x = 51,719,200.36/7,673.60
  6. Step 6: Final answer
    x = 6,739.89

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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.