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Finding the Fourth Proportional to 7,773, 11,663.52 and 3,092

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Solution

The fourth proportional to 7,773, 11,663.52 and 3,092 is: 4,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773 : 11,663.52 = 3,092 : x
  2. Step 2: Convert to fraction form
    7,773/11,663.52 = 3,092/x
  3. Step 3: Cross multiply
    7,773x = 11,663.52 × 3,092
  4. Step 4: Simplify right side
    7,773x = 36,063,603.84
  5. Step 5: Solve for x
    x = 36,063,603.84/7,773
  6. Step 6: Final answer
    x = 4,639.60

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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.