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Finding the Fourth Proportional to 11,886.23, 16,397.84 and 7,167.89

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Solution

The fourth proportional to 11,886.23, 16,397.84 and 7,167.89 is: 9,888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.23 : 16,397.84 = 7,167.89 : x
  2. Step 2: Convert to fraction form
    11,886.23/16,397.84 = 7,167.89/x
  3. Step 3: Cross multiply
    11,886.23x = 16,397.84 × 7,167.89
  4. Step 4: Simplify right side
    11,886.23x = 117,537,913.36
  5. Step 5: Solve for x
    x = 117,537,913.36/11,886.23
  6. Step 6: Final answer
    x = 9,888.58

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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.