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Finding the Fourth Proportional to 11,754.56, 16,206.54 and 8,605.28

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Solution

The fourth proportional to 11,754.56, 16,206.54 and 8,605.28 is: 11,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.56 : 16,206.54 = 8,605.28 : x
  2. Step 2: Convert to fraction form
    11,754.56/16,206.54 = 8,605.28/x
  3. Step 3: Cross multiply
    11,754.56x = 16,206.54 × 8,605.28
  4. Step 4: Simplify right side
    11,754.56x = 139,461,814.53
  5. Step 5: Solve for x
    x = 139,461,814.53/11,754.56
  6. Step 6: Final answer
    x = 11,864.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.