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Finding the Fourth Proportional to 10,245.64, 14,139.16 and 5,999.72

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Solution

The fourth proportional to 10,245.64, 14,139.16 and 5,999.72 is: 8,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.64 : 14,139.16 = 5,999.72 : x
  2. Step 2: Convert to fraction form
    10,245.64/14,139.16 = 5,999.72/x
  3. Step 3: Cross multiply
    10,245.64x = 14,139.16 × 5,999.72
  4. Step 4: Simplify right side
    10,245.64x = 84,831,001.04
  5. Step 5: Solve for x
    x = 84,831,001.04/10,245.64
  6. Step 6: Final answer
    x = 8,279.72

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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.