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Finding the Fourth Proportional to 11,620.98, 16,027.62 and 7,646.16

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Solution

The fourth proportional to 11,620.98, 16,027.62 and 7,646.16 is: 10,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.98 : 16,027.62 = 7,646.16 : x
  2. Step 2: Convert to fraction form
    11,620.98/16,027.62 = 7,646.16/x
  3. Step 3: Cross multiply
    11,620.98x = 16,027.62 × 7,646.16
  4. Step 4: Simplify right side
    11,620.98x = 122,549,746.94
  5. Step 5: Solve for x
    x = 122,549,746.94/11,620.98
  6. Step 6: Final answer
    x = 10,545.56

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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.