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Finding the Fourth Proportional to 10,343.88, 14,275.06 and 6,096.20

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Solution

The fourth proportional to 10,343.88, 14,275.06 and 6,096.20 is: 8,413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.88 : 14,275.06 = 6,096.20 : x
  2. Step 2: Convert to fraction form
    10,343.88/14,275.06 = 6,096.20/x
  3. Step 3: Cross multiply
    10,343.88x = 14,275.06 × 6,096.20
  4. Step 4: Simplify right side
    10,343.88x = 87,023,620.77
  5. Step 5: Solve for x
    x = 87,023,620.77/10,343.88
  6. Step 6: Final answer
    x = 8,413.05

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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.