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Finding the Fourth Proportional to 11,966.51, 16,514.33 and 6,930.95

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Solution

The fourth proportional to 11,966.51, 16,514.33 and 6,930.95 is: 9,565.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.51 : 16,514.33 = 6,930.95 : x
  2. Step 2: Convert to fraction form
    11,966.51/16,514.33 = 6,930.95/x
  3. Step 3: Cross multiply
    11,966.51x = 16,514.33 × 6,930.95
  4. Step 4: Simplify right side
    11,966.51x = 114,459,995.51
  5. Step 5: Solve for x
    x = 114,459,995.51/11,966.51
  6. Step 6: Final answer
    x = 9,565.03

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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.