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Finding the Fourth Proportional to 11,306.12, 16,952.96 and 8,981

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Solution

The fourth proportional to 11,306.12, 16,952.96 and 8,981 is: 13,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.12 : 16,952.96 = 8,981 : x
  2. Step 2: Convert to fraction form
    11,306.12/16,952.96 = 8,981/x
  3. Step 3: Cross multiply
    11,306.12x = 16,952.96 × 8,981
  4. Step 4: Simplify right side
    11,306.12x = 152,254,533.76
  5. Step 5: Solve for x
    x = 152,254,533.76/11,306.12
  6. Step 6: Final answer
    x = 13,466.56

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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.