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Finding the Fourth Proportional to 10,803.15, 14,908.05 and 6,023.16

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Solution

The fourth proportional to 10,803.15, 14,908.05 and 6,023.16 is: 8,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.15 : 14,908.05 = 6,023.16 : x
  2. Step 2: Convert to fraction form
    10,803.15/14,908.05 = 6,023.16/x
  3. Step 3: Cross multiply
    10,803.15x = 14,908.05 × 6,023.16
  4. Step 4: Simplify right side
    10,803.15x = 89,793,570.44
  5. Step 5: Solve for x
    x = 89,793,570.44/10,803.15
  6. Step 6: Final answer
    x = 8,311.80

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Why These Related Problems?

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