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Finding the Fourth Proportional to 8,613.70, 11,887.12 and 4,837.16

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Solution

The fourth proportional to 8,613.70, 11,887.12 and 4,837.16 is: 6,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.70 : 11,887.12 = 4,837.16 : x
  2. Step 2: Convert to fraction form
    8,613.70/11,887.12 = 4,837.16/x
  3. Step 3: Cross multiply
    8,613.70x = 11,887.12 × 4,837.16
  4. Step 4: Simplify right side
    8,613.70x = 57,499,901.38
  5. Step 5: Solve for x
    x = 57,499,901.38/8,613.70
  6. Step 6: Final answer
    x = 6,675.40

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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.