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Finding the Fourth Proportional to 7,703.79, 11,543.00 and 3,257.84

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Solution

The fourth proportional to 7,703.79, 11,543.00 and 3,257.84 is: 4,881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.79 : 11,543.00 = 3,257.84 : x
  2. Step 2: Convert to fraction form
    7,703.79/11,543.00 = 3,257.84/x
  3. Step 3: Cross multiply
    7,703.79x = 11,543.00 × 3,257.84
  4. Step 4: Simplify right side
    7,703.79x = 37,605,173.12
  5. Step 5: Solve for x
    x = 37,605,173.12/7,703.79
  6. Step 6: Final answer
    x = 4,881.39

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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.