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Finding the Fourth Proportional to 7,051.60, 10,563.72 and 3,763.60

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Solution

The fourth proportional to 7,051.60, 10,563.72 and 3,763.60 is: 5,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.60 : 10,563.72 = 3,763.60 : x
  2. Step 2: Convert to fraction form
    7,051.60/10,563.72 = 3,763.60/x
  3. Step 3: Cross multiply
    7,051.60x = 10,563.72 × 3,763.60
  4. Step 4: Simplify right side
    7,051.60x = 39,757,616.59
  5. Step 5: Solve for x
    x = 39,757,616.59/7,051.60
  6. Step 6: Final answer
    x = 5,638.10

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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.