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Finding the Fourth Proportional to 11,612.73, 16,026.13 and 6,577.16

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Solution

The fourth proportional to 11,612.73, 16,026.13 and 6,577.16 is: 9,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.73 : 16,026.13 = 6,577.16 : x
  2. Step 2: Convert to fraction form
    11,612.73/16,026.13 = 6,577.16/x
  3. Step 3: Cross multiply
    11,612.73x = 16,026.13 × 6,577.16
  4. Step 4: Simplify right side
    11,612.73x = 105,406,421.19
  5. Step 5: Solve for x
    x = 105,406,421.19/11,612.73
  6. Step 6: Final answer
    x = 9,076.80

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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.