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Finding the Fourth Proportional to 8,510.46, 11,741.72 and 5,152.20

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Solution

The fourth proportional to 8,510.46, 11,741.72 and 5,152.20 is: 7,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.46 : 11,741.72 = 5,152.20 : x
  2. Step 2: Convert to fraction form
    8,510.46/11,741.72 = 5,152.20/x
  3. Step 3: Cross multiply
    8,510.46x = 11,741.72 × 5,152.20
  4. Step 4: Simplify right side
    8,510.46x = 60,495,664.02
  5. Step 5: Solve for x
    x = 60,495,664.02/8,510.46
  6. Step 6: Final answer
    x = 7,108.39

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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.