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Finding the Fourth Proportional to 10,274.16, 14,173.82 and 6,023.06

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Solution

The fourth proportional to 10,274.16, 14,173.82 and 6,023.06 is: 8,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.16 : 14,173.82 = 6,023.06 : x
  2. Step 2: Convert to fraction form
    10,274.16/14,173.82 = 6,023.06/x
  3. Step 3: Cross multiply
    10,274.16x = 14,173.82 × 6,023.06
  4. Step 4: Simplify right side
    10,274.16x = 85,369,768.29
  5. Step 5: Solve for x
    x = 85,369,768.29/10,274.16
  6. Step 6: Final answer
    x = 8,309.17

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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.