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Finding the Fourth Proportional to 7,643.80, 11,439.78 and 4,567.96

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Solution

The fourth proportional to 7,643.80, 11,439.78 and 4,567.96 is: 6,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.80 : 11,439.78 = 4,567.96 : x
  2. Step 2: Convert to fraction form
    7,643.80/11,439.78 = 4,567.96/x
  3. Step 3: Cross multiply
    7,643.80x = 11,439.78 × 4,567.96
  4. Step 4: Simplify right side
    7,643.80x = 52,256,457.45
  5. Step 5: Solve for x
    x = 52,256,457.45/7,643.80
  6. Step 6: Final answer
    x = 6,836.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.