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Finding the Fourth Proportional to 11,616.39, 16,030.71 and 6,580.82

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Solution

The fourth proportional to 11,616.39, 16,030.71 and 6,580.82 is: 9,081.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.39 : 16,030.71 = 6,580.82 : x
  2. Step 2: Convert to fraction form
    11,616.39/16,030.71 = 6,580.82/x
  3. Step 3: Cross multiply
    11,616.39x = 16,030.71 × 6,580.82
  4. Step 4: Simplify right side
    11,616.39x = 105,495,211.97
  5. Step 5: Solve for x
    x = 105,495,211.97/11,616.39
  6. Step 6: Final answer
    x = 9,081.59

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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.