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Finding the Fourth Proportional to 10,763.63, 16,130.41 and 5,215.50

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Solution

The fourth proportional to 10,763.63, 16,130.41 and 5,215.50 is: 7,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.63 : 16,130.41 = 5,215.50 : x
  2. Step 2: Convert to fraction form
    10,763.63/16,130.41 = 5,215.50/x
  3. Step 3: Cross multiply
    10,763.63x = 16,130.41 × 5,215.50
  4. Step 4: Simplify right side
    10,763.63x = 84,128,140.32
  5. Step 5: Solve for x
    x = 84,128,140.32/10,763.63
  6. Step 6: Final answer
    x = 7,815.96

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Why These Related Problems?

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