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Finding the Fourth Proportional to 11,606.80, 16,017.51 and 6,570.58

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Solution

The fourth proportional to 11,606.80, 16,017.51 and 6,570.58 is: 9,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.80 : 16,017.51 = 6,570.58 : x
  2. Step 2: Convert to fraction form
    11,606.80/16,017.51 = 6,570.58/x
  3. Step 3: Cross multiply
    11,606.80x = 16,017.51 × 6,570.58
  4. Step 4: Simplify right side
    11,606.80x = 105,244,330.86
  5. Step 5: Solve for x
    x = 105,244,330.86/11,606.80
  6. Step 6: Final answer
    x = 9,067.47

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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.