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Finding the Fourth Proportional to 11,920.16, 16,434.68 and 8,521.28

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Solution

The fourth proportional to 11,920.16, 16,434.68 and 8,521.28 is: 11,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.16 : 16,434.68 = 8,521.28 : x
  2. Step 2: Convert to fraction form
    11,920.16/16,434.68 = 8,521.28/x
  3. Step 3: Cross multiply
    11,920.16x = 16,434.68 × 8,521.28
  4. Step 4: Simplify right side
    11,920.16x = 140,044,509.99
  5. Step 5: Solve for x
    x = 140,044,509.99/11,920.16
  6. Step 6: Final answer
    x = 11,748.54

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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.