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Finding the Fourth Proportional to 10,246.02, 14,143.05 and 6,054

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Solution

The fourth proportional to 10,246.02, 14,143.05 and 6,054 is: 8,356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.02 : 14,143.05 = 6,054 : x
  2. Step 2: Convert to fraction form
    10,246.02/14,143.05 = 6,054/x
  3. Step 3: Cross multiply
    10,246.02x = 14,143.05 × 6,054
  4. Step 4: Simplify right side
    10,246.02x = 85,622,024.70
  5. Step 5: Solve for x
    x = 85,622,024.70/10,246.02
  6. Step 6: Final answer
    x = 8,356.61

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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.