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Finding the Fourth Proportional to 10,997.40, 16,503.80 and 4,077.72

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Solution

The fourth proportional to 10,997.40, 16,503.80 and 4,077.72 is: 6,119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.40 : 16,503.80 = 4,077.72 : x
  2. Step 2: Convert to fraction form
    10,997.40/16,503.80 = 4,077.72/x
  3. Step 3: Cross multiply
    10,997.40x = 16,503.80 × 4,077.72
  4. Step 4: Simplify right side
    10,997.40x = 67,297,875.34
  5. Step 5: Solve for x
    x = 67,297,875.34/10,997.40
  6. Step 6: Final answer
    x = 6,119.44

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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.