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Finding the Fourth Proportional to 10,500.68, 14,490.24 and 6,025.16

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Solution

The fourth proportional to 10,500.68, 14,490.24 and 6,025.16 is: 8,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.68 : 14,490.24 = 6,025.16 : x
  2. Step 2: Convert to fraction form
    10,500.68/14,490.24 = 6,025.16/x
  3. Step 3: Cross multiply
    10,500.68x = 14,490.24 × 6,025.16
  4. Step 4: Simplify right side
    10,500.68x = 87,306,014.44
  5. Step 5: Solve for x
    x = 87,306,014.44/10,500.68
  6. Step 6: Final answer
    x = 8,314.32

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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.