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Finding the Fourth Proportional to 11,605.79, 16,016.46 and 6,570.25

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Solution

The fourth proportional to 11,605.79, 16,016.46 and 6,570.25 is: 9,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.79 : 16,016.46 = 6,570.25 : x
  2. Step 2: Convert to fraction form
    11,605.79/16,016.46 = 6,570.25/x
  3. Step 3: Cross multiply
    11,605.79x = 16,016.46 × 6,570.25
  4. Step 4: Simplify right side
    11,605.79x = 105,232,146.32
  5. Step 5: Solve for x
    x = 105,232,146.32/11,605.79
  6. Step 6: Final answer
    x = 9,067.21

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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.