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Finding the Fourth Proportional to 10,763.62, 16,142.29 and 4,188.24

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Solution

The fourth proportional to 10,763.62, 16,142.29 and 4,188.24 is: 6,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.62 : 16,142.29 = 4,188.24 : x
  2. Step 2: Convert to fraction form
    10,763.62/16,142.29 = 4,188.24/x
  3. Step 3: Cross multiply
    10,763.62x = 16,142.29 × 4,188.24
  4. Step 4: Simplify right side
    10,763.62x = 67,607,784.67
  5. Step 5: Solve for x
    x = 67,607,784.67/10,763.62
  6. Step 6: Final answer
    x = 6,281.14

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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.