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Finding the Fourth Proportional to 11,931.52, 16,459.80 and 8,396.68

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Solution

The fourth proportional to 11,931.52, 16,459.80 and 8,396.68 is: 11,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.52 : 16,459.80 = 8,396.68 : x
  2. Step 2: Convert to fraction form
    11,931.52/16,459.80 = 8,396.68/x
  3. Step 3: Cross multiply
    11,931.52x = 16,459.80 × 8,396.68
  4. Step 4: Simplify right side
    11,931.52x = 138,207,673.46
  5. Step 5: Solve for x
    x = 138,207,673.46/11,931.52
  6. Step 6: Final answer
    x = 11,583.41

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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.