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Finding the Fourth Proportional to 7,824.56, 10,798.12 and 4,288

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Solution

The fourth proportional to 7,824.56, 10,798.12 and 4,288 is: 5,917.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.56 : 10,798.12 = 4,288 : x
  2. Step 2: Convert to fraction form
    7,824.56/10,798.12 = 4,288/x
  3. Step 3: Cross multiply
    7,824.56x = 10,798.12 × 4,288
  4. Step 4: Simplify right side
    7,824.56x = 46,302,338.56
  5. Step 5: Solve for x
    x = 46,302,338.56/7,824.56
  6. Step 6: Final answer
    x = 5,917.56

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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.