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Finding the Fourth Proportional to 11,918.59, 16,447.61 and 6,613.40

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Solution

The fourth proportional to 11,918.59, 16,447.61 and 6,613.40 is: 9,126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.59 : 16,447.61 = 6,613.40 : x
  2. Step 2: Convert to fraction form
    11,918.59/16,447.61 = 6,613.40/x
  3. Step 3: Cross multiply
    11,918.59x = 16,447.61 × 6,613.40
  4. Step 4: Simplify right side
    11,918.59x = 108,774,549.79
  5. Step 5: Solve for x
    x = 108,774,549.79/11,918.59
  6. Step 6: Final answer
    x = 9,126.46

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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.