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Finding the Fourth Proportional to 11,613.83, 16,026.53 and 6,577.92

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Solution

The fourth proportional to 11,613.83, 16,026.53 and 6,577.92 is: 9,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.83 : 16,026.53 = 6,577.92 : x
  2. Step 2: Convert to fraction form
    11,613.83/16,026.53 = 6,577.92/x
  3. Step 3: Cross multiply
    11,613.83x = 16,026.53 × 6,577.92
  4. Step 4: Simplify right side
    11,613.83x = 105,421,199.33
  5. Step 5: Solve for x
    x = 105,421,199.33/11,613.83
  6. Step 6: Final answer
    x = 9,077.22

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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.