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Finding the Fourth Proportional to 11,715.60, 16,167.48 and 7,238.28

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Solution

The fourth proportional to 11,715.60, 16,167.48 and 7,238.28 is: 9,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.60 : 16,167.48 = 7,238.28 : x
  2. Step 2: Convert to fraction form
    11,715.60/16,167.48 = 7,238.28/x
  3. Step 3: Cross multiply
    11,715.60x = 16,167.48 × 7,238.28
  4. Step 4: Simplify right side
    11,715.60x = 117,024,747.13
  5. Step 5: Solve for x
    x = 117,024,747.13/11,715.60
  6. Step 6: Final answer
    x = 9,988.80

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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.