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Finding the Fourth Proportional to 10,573.65, 14,591.75 and 5,793.60

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Solution

The fourth proportional to 10,573.65, 14,591.75 and 5,793.60 is: 7,995.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.65 : 14,591.75 = 5,793.60 : x
  2. Step 2: Convert to fraction form
    10,573.65/14,591.75 = 5,793.60/x
  3. Step 3: Cross multiply
    10,573.65x = 14,591.75 × 5,793.60
  4. Step 4: Simplify right side
    10,573.65x = 84,538,762.80
  5. Step 5: Solve for x
    x = 84,538,762.80/10,573.65
  6. Step 6: Final answer
    x = 7,995.23

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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.