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Finding the Fourth Proportional to 11,026.80, 16,532.64 and 5,184

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Solution

The fourth proportional to 11,026.80, 16,532.64 and 5,184 is: 7,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,026.80 : 16,532.64 = 5,184 : x
  2. Step 2: Convert to fraction form
    11,026.80/16,532.64 = 5,184/x
  3. Step 3: Cross multiply
    11,026.80x = 16,532.64 × 5,184
  4. Step 4: Simplify right side
    11,026.80x = 85,705,205.76
  5. Step 5: Solve for x
    x = 85,705,205.76/11,026.80
  6. Step 6: Final answer
    x = 7,772.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.