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Finding the Fourth Proportional to 10,461.88, 14,432.20 and 6,211

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Solution

The fourth proportional to 10,461.88, 14,432.20 and 6,211 is: 8,568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.88 : 14,432.20 = 6,211 : x
  2. Step 2: Convert to fraction form
    10,461.88/14,432.20 = 6,211/x
  3. Step 3: Cross multiply
    10,461.88x = 14,432.20 × 6,211
  4. Step 4: Simplify right side
    10,461.88x = 89,638,394.20
  5. Step 5: Solve for x
    x = 89,638,394.20/10,461.88
  6. Step 6: Final answer
    x = 8,568.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.