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Finding the Fourth Proportional to 10,430.63, 15,644.57 and 3,766.44

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Solution

The fourth proportional to 10,430.63, 15,644.57 and 3,766.44 is: 5,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.63 : 15,644.57 = 3,766.44 : x
  2. Step 2: Convert to fraction form
    10,430.63/15,644.57 = 3,766.44/x
  3. Step 3: Cross multiply
    10,430.63x = 15,644.57 × 3,766.44
  4. Step 4: Simplify right side
    10,430.63x = 58,924,315.40
  5. Step 5: Solve for x
    x = 58,924,315.40/10,430.63
  6. Step 6: Final answer
    x = 5,649.16

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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.