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Finding the Fourth Proportional to 11,617.62, 16,045.46 and 7,656.31

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Solution

The fourth proportional to 11,617.62, 16,045.46 and 7,656.31 is: 10,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.62 : 16,045.46 = 7,656.31 : x
  2. Step 2: Convert to fraction form
    11,617.62/16,045.46 = 7,656.31/x
  3. Step 3: Cross multiply
    11,617.62x = 16,045.46 × 7,656.31
  4. Step 4: Simplify right side
    11,617.62x = 122,849,015.85
  5. Step 5: Solve for x
    x = 122,849,015.85/11,617.62
  6. Step 6: Final answer
    x = 10,574.37

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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.