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Finding the Fourth Proportional to 10,003.63, 13,803.12 and 6,025

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Solution

The fourth proportional to 10,003.63, 13,803.12 and 6,025 is: 8,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.63 : 13,803.12 = 6,025 : x
  2. Step 2: Convert to fraction form
    10,003.63/13,803.12 = 6,025/x
  3. Step 3: Cross multiply
    10,003.63x = 13,803.12 × 6,025
  4. Step 4: Simplify right side
    10,003.63x = 83,163,798
  5. Step 5: Solve for x
    x = 83,163,798/10,003.63
  6. Step 6: Final answer
    x = 8,313.36

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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.