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Finding the Fourth Proportional to 10,763.40, 16,142.04 and 4,188.06

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Solution

The fourth proportional to 10,763.40, 16,142.04 and 4,188.06 is: 6,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.40 : 16,142.04 = 4,188.06 : x
  2. Step 2: Convert to fraction form
    10,763.40/16,142.04 = 4,188.06/x
  3. Step 3: Cross multiply
    10,763.40x = 16,142.04 × 4,188.06
  4. Step 4: Simplify right side
    10,763.40x = 67,603,832.04
  5. Step 5: Solve for x
    x = 67,603,832.04/10,763.40
  6. Step 6: Final answer
    x = 6,280.90

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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.