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Finding the Fourth Proportional to 10,052.17, 13,872.63 and 5,804.01

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Solution

The fourth proportional to 10,052.17, 13,872.63 and 5,804.01 is: 8,009.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.17 : 13,872.63 = 5,804.01 : x
  2. Step 2: Convert to fraction form
    10,052.17/13,872.63 = 5,804.01/x
  3. Step 3: Cross multiply
    10,052.17x = 13,872.63 × 5,804.01
  4. Step 4: Simplify right side
    10,052.17x = 80,516,883.25
  5. Step 5: Solve for x
    x = 80,516,883.25/10,052.17
  6. Step 6: Final answer
    x = 8,009.90

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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.