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Finding the Fourth Proportional to 7,288.64, 10,059.84 and 4,496.96

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Solution

The fourth proportional to 7,288.64, 10,059.84 and 4,496.96 is: 6,206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288.64 : 10,059.84 = 4,496.96 : x
  2. Step 2: Convert to fraction form
    7,288.64/10,059.84 = 4,496.96/x
  3. Step 3: Cross multiply
    7,288.64x = 10,059.84 × 4,496.96
  4. Step 4: Simplify right side
    7,288.64x = 45,238,698.09
  5. Step 5: Solve for x
    x = 45,238,698.09/7,288.64
  6. Step 6: Final answer
    x = 6,206.74

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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.