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Finding the Fourth Proportional to 11,886.10, 16,397.67 and 7,167.70

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Solution

The fourth proportional to 11,886.10, 16,397.67 and 7,167.70 is: 9,888.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.10 : 16,397.67 = 7,167.70 : x
  2. Step 2: Convert to fraction form
    11,886.10/16,397.67 = 7,167.70/x
  3. Step 3: Cross multiply
    11,886.10x = 16,397.67 × 7,167.70
  4. Step 4: Simplify right side
    11,886.10x = 117,533,579.26
  5. Step 5: Solve for x
    x = 117,533,579.26/11,886.10
  6. Step 6: Final answer
    x = 9,888.32

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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.