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Finding the Fourth Proportional to 10,712.60, 16,083.30 and 6,824.60

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Solution

The fourth proportional to 10,712.60, 16,083.30 and 6,824.60 is: 10,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.60 : 16,083.30 = 6,824.60 : x
  2. Step 2: Convert to fraction form
    10,712.60/16,083.30 = 6,824.60/x
  3. Step 3: Cross multiply
    10,712.60x = 16,083.30 × 6,824.60
  4. Step 4: Simplify right side
    10,712.60x = 109,762,089.18
  5. Step 5: Solve for x
    x = 109,762,089.18/10,712.60
  6. Step 6: Final answer
    x = 10,246.07

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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.