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Finding the Fourth Proportional to 7,655.46, 11,484 and 2,725.56

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Solution

The fourth proportional to 7,655.46, 11,484 and 2,725.56 is: 4,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.46 : 11,484 = 2,725.56 : x
  2. Step 2: Convert to fraction form
    7,655.46/11,484 = 2,725.56/x
  3. Step 3: Cross multiply
    7,655.46x = 11,484 × 2,725.56
  4. Step 4: Simplify right side
    7,655.46x = 31,300,331.04
  5. Step 5: Solve for x
    x = 31,300,331.04/7,655.46
  6. Step 6: Final answer
    x = 4,088.63

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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.