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Finding the Fourth Proportional to 11,895.66, 16,415.33 and 6,590.16

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Solution

The fourth proportional to 11,895.66, 16,415.33 and 6,590.16 is: 9,094.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.66 : 16,415.33 = 6,590.16 : x
  2. Step 2: Convert to fraction form
    11,895.66/16,415.33 = 6,590.16/x
  3. Step 3: Cross multiply
    11,895.66x = 16,415.33 × 6,590.16
  4. Step 4: Simplify right side
    11,895.66x = 108,179,618.20
  5. Step 5: Solve for x
    x = 108,179,618.20/11,895.66
  6. Step 6: Final answer
    x = 9,094.04

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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.