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Finding the Fourth Proportional to 10,530.75, 14,532.48 and 5,815.38

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Solution

The fourth proportional to 10,530.75, 14,532.48 and 5,815.38 is: 8,025.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.75 : 14,532.48 = 5,815.38 : x
  2. Step 2: Convert to fraction form
    10,530.75/14,532.48 = 5,815.38/x
  3. Step 3: Cross multiply
    10,530.75x = 14,532.48 × 5,815.38
  4. Step 4: Simplify right side
    10,530.75x = 84,511,893.54
  5. Step 5: Solve for x
    x = 84,511,893.54/10,530.75
  6. Step 6: Final answer
    x = 8,025.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.