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Finding the Fourth Proportional to 7,730.80, 11,595.12 and 2,536

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Solution

The fourth proportional to 7,730.80, 11,595.12 and 2,536 is: 3,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.80 : 11,595.12 = 2,536 : x
  2. Step 2: Convert to fraction form
    7,730.80/11,595.12 = 2,536/x
  3. Step 3: Cross multiply
    7,730.80x = 11,595.12 × 2,536
  4. Step 4: Simplify right side
    7,730.80x = 29,405,224.32
  5. Step 5: Solve for x
    x = 29,405,224.32/7,730.80
  6. Step 6: Final answer
    x = 3,803.65

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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.