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Finding the Fourth Proportional to 10,929.60, 16,392.80 and 5,381.44

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Solution

The fourth proportional to 10,929.60, 16,392.80 and 5,381.44 is: 8,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.60 : 16,392.80 = 5,381.44 : x
  2. Step 2: Convert to fraction form
    10,929.60/16,392.80 = 5,381.44/x
  3. Step 3: Cross multiply
    10,929.60x = 16,392.80 × 5,381.44
  4. Step 4: Simplify right side
    10,929.60x = 88,216,869.63
  5. Step 5: Solve for x
    x = 88,216,869.63/10,929.60
  6. Step 6: Final answer
    x = 8,071.37

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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.