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Finding the Fourth Proportional to 11,184.34, 16,780.16 and 5,989

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Solution

The fourth proportional to 11,184.34, 16,780.16 and 5,989 is: 8,985.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184.34 : 16,780.16 = 5,989 : x
  2. Step 2: Convert to fraction form
    11,184.34/16,780.16 = 5,989/x
  3. Step 3: Cross multiply
    11,184.34x = 16,780.16 × 5,989
  4. Step 4: Simplify right side
    11,184.34x = 100,496,378.24
  5. Step 5: Solve for x
    x = 100,496,378.24/11,184.34
  6. Step 6: Final answer
    x = 8,985.45

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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.