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Finding the Fourth Proportional to 7,794.63, 10,756.80 and 4,652.64

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Solution

The fourth proportional to 7,794.63, 10,756.80 and 4,652.64 is: 6,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.63 : 10,756.80 = 4,652.64 : x
  2. Step 2: Convert to fraction form
    7,794.63/10,756.80 = 4,652.64/x
  3. Step 3: Cross multiply
    7,794.63x = 10,756.80 × 4,652.64
  4. Step 4: Simplify right side
    7,794.63x = 50,047,517.95
  5. Step 5: Solve for x
    x = 50,047,517.95/7,794.63
  6. Step 6: Final answer
    x = 6,420.77

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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.