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Finding the Fourth Proportional to 8,518.71, 11,755.95 and 4,742.08

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Solution

The fourth proportional to 8,518.71, 11,755.95 and 4,742.08 is: 6,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,518.71 : 11,755.95 = 4,742.08 : x
  2. Step 2: Convert to fraction form
    8,518.71/11,755.95 = 4,742.08/x
  3. Step 3: Cross multiply
    8,518.71x = 11,755.95 × 4,742.08
  4. Step 4: Simplify right side
    8,518.71x = 55,747,655.38
  5. Step 5: Solve for x
    x = 55,747,655.38/8,518.71
  6. Step 6: Final answer
    x = 6,544.14

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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.