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Finding the Fourth Proportional to 8,502.10, 12,755.67 and 4,063.08

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Solution

The fourth proportional to 8,502.10, 12,755.67 and 4,063.08 is: 6,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.10 : 12,755.67 = 4,063.08 : x
  2. Step 2: Convert to fraction form
    8,502.10/12,755.67 = 4,063.08/x
  3. Step 3: Cross multiply
    8,502.10x = 12,755.67 × 4,063.08
  4. Step 4: Simplify right side
    8,502.10x = 51,827,307.66
  5. Step 5: Solve for x
    x = 51,827,307.66/8,502.10
  6. Step 6: Final answer
    x = 6,095.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.