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Finding the Fourth Proportional to 11,138.70, 15,368.68 and 6,170.70

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Solution

The fourth proportional to 11,138.70, 15,368.68 and 6,170.70 is: 8,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.70 : 15,368.68 = 6,170.70 : x
  2. Step 2: Convert to fraction form
    11,138.70/15,368.68 = 6,170.70/x
  3. Step 3: Cross multiply
    11,138.70x = 15,368.68 × 6,170.70
  4. Step 4: Simplify right side
    11,138.70x = 94,835,513.68
  5. Step 5: Solve for x
    x = 94,835,513.68/11,138.70
  6. Step 6: Final answer
    x = 8,514.06

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