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Finding the Fourth Proportional to 7,584.96, 10,463.86 and 4,439.76

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Solution

The fourth proportional to 7,584.96, 10,463.86 and 4,439.76 is: 6,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.96 : 10,463.86 = 4,439.76 : x
  2. Step 2: Convert to fraction form
    7,584.96/10,463.86 = 4,439.76/x
  3. Step 3: Cross multiply
    7,584.96x = 10,463.86 × 4,439.76
  4. Step 4: Simplify right side
    7,584.96x = 46,457,027.07
  5. Step 5: Solve for x
    x = 46,457,027.07/7,584.96
  6. Step 6: Final answer
    x = 6,124.89

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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.