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Finding the Fourth Proportional to 29,580, 44,370 and 7,692

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Solution

The fourth proportional to 29,580, 44,370 and 7,692 is: 11,538

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,580 : 44,370 = 7,692 : x
  2. Step 2: Convert to fraction form
    29,580/44,370 = 7,692/x
  3. Step 3: Cross multiply
    29,580x = 44,370 × 7,692
  4. Step 4: Simplify right side
    29,580x = 341,294,040
  5. Step 5: Solve for x
    x = 341,294,040/29,580
  6. Step 6: Final answer
    x = 11,538

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.