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Finding the Fourth Proportional to 10,052, 13,872.16 and 5,803.72

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Solution

The fourth proportional to 10,052, 13,872.16 and 5,803.72 is: 8,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052 : 13,872.16 = 5,803.72 : x
  2. Step 2: Convert to fraction form
    10,052/13,872.16 = 5,803.72/x
  3. Step 3: Cross multiply
    10,052x = 13,872.16 × 5,803.72
  4. Step 4: Simplify right side
    10,052x = 80,510,132.44
  5. Step 5: Solve for x
    x = 80,510,132.44/10,052
  6. Step 6: Final answer
    x = 8,009.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.