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Finding the Fourth Proportional to 7,584.80, 10,463.32 and 5,903.20

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Solution

The fourth proportional to 7,584.80, 10,463.32 and 5,903.20 is: 8,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.80 : 10,463.32 = 5,903.20 : x
  2. Step 2: Convert to fraction form
    7,584.80/10,463.32 = 5,903.20/x
  3. Step 3: Cross multiply
    7,584.80x = 10,463.32 × 5,903.20
  4. Step 4: Simplify right side
    7,584.80x = 61,767,070.62
  5. Step 5: Solve for x
    x = 61,767,070.62/7,584.80
  6. Step 6: Final answer
    x = 8,143.53

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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.