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Finding the Fourth Proportional to 11,606.98, 16,017.46 and 6,572.16

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Solution

The fourth proportional to 11,606.98, 16,017.46 and 6,572.16 is: 9,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.98 : 16,017.46 = 6,572.16 : x
  2. Step 2: Convert to fraction form
    11,606.98/16,017.46 = 6,572.16/x
  3. Step 3: Cross multiply
    11,606.98x = 16,017.46 × 6,572.16
  4. Step 4: Simplify right side
    11,606.98x = 105,269,309.91
  5. Step 5: Solve for x
    x = 105,269,309.91/11,606.98
  6. Step 6: Final answer
    x = 9,069.48

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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.