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Finding the Fourth Proportional to 11,283.84, 16,929.60 and 5,808

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Solution

The fourth proportional to 11,283.84, 16,929.60 and 5,808 is: 8,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.84 : 16,929.60 = 5,808 : x
  2. Step 2: Convert to fraction form
    11,283.84/16,929.60 = 5,808/x
  3. Step 3: Cross multiply
    11,283.84x = 16,929.60 × 5,808
  4. Step 4: Simplify right side
    11,283.84x = 98,327,116.80
  5. Step 5: Solve for x
    x = 98,327,116.80/11,283.84
  6. Step 6: Final answer
    x = 8,713.98

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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.