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Finding the Fourth Proportional to 7,703.76, 11,562.20 and 3,027.04

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Solution

The fourth proportional to 7,703.76, 11,562.20 and 3,027.04 is: 4,543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.76 : 11,562.20 = 3,027.04 : x
  2. Step 2: Convert to fraction form
    7,703.76/11,562.20 = 3,027.04/x
  3. Step 3: Cross multiply
    7,703.76x = 11,562.20 × 3,027.04
  4. Step 4: Simplify right side
    7,703.76x = 34,999,282.75
  5. Step 5: Solve for x
    x = 34,999,282.75/7,703.76
  6. Step 6: Final answer
    x = 4,543.14

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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.