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Finding the Fourth Proportional to 7,703.84, 11,557.50 and 2,773.50

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Solution

The fourth proportional to 7,703.84, 11,557.50 and 2,773.50 is: 4,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.84 : 11,557.50 = 2,773.50 : x
  2. Step 2: Convert to fraction form
    7,703.84/11,557.50 = 2,773.50/x
  3. Step 3: Cross multiply
    7,703.84x = 11,557.50 × 2,773.50
  4. Step 4: Simplify right side
    7,703.84x = 32,054,712.38
  5. Step 5: Solve for x
    x = 32,054,712.38/7,703.84
  6. Step 6: Final answer
    x = 4,160.88

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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.