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Finding the Fourth Proportional to 10,592.80, 14,618.48 and 5,812.44

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Solution

The fourth proportional to 10,592.80, 14,618.48 and 5,812.44 is: 8,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.80 : 14,618.48 = 5,812.44 : x
  2. Step 2: Convert to fraction form
    10,592.80/14,618.48 = 5,812.44/x
  3. Step 3: Cross multiply
    10,592.80x = 14,618.48 × 5,812.44
  4. Step 4: Simplify right side
    10,592.80x = 84,969,037.89
  5. Step 5: Solve for x
    x = 84,969,037.89/10,592.80
  6. Step 6: Final answer
    x = 8,021.40

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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.