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Finding the Fourth Proportional to 10,442.50, 14,407.50 and 6,194.24

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Solution

The fourth proportional to 10,442.50, 14,407.50 and 6,194.24 is: 8,546.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.50 : 14,407.50 = 6,194.24 : x
  2. Step 2: Convert to fraction form
    10,442.50/14,407.50 = 6,194.24/x
  3. Step 3: Cross multiply
    10,442.50x = 14,407.50 × 6,194.24
  4. Step 4: Simplify right side
    10,442.50x = 89,243,512.80
  5. Step 5: Solve for x
    x = 89,243,512.80/10,442.50
  6. Step 6: Final answer
    x = 8,546.18

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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.