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Finding the Fourth Proportional to 10,182.02, 14,051.20 and 6,203.16

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Solution

The fourth proportional to 10,182.02, 14,051.20 and 6,203.16 is: 8,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.02 : 14,051.20 = 6,203.16 : x
  2. Step 2: Convert to fraction form
    10,182.02/14,051.20 = 6,203.16/x
  3. Step 3: Cross multiply
    10,182.02x = 14,051.20 × 6,203.16
  4. Step 4: Simplify right side
    10,182.02x = 87,161,841.79
  5. Step 5: Solve for x
    x = 87,161,841.79/10,182.02
  6. Step 6: Final answer
    x = 8,560.37

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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.