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Finding the Fourth Proportional to 11,348.19, 15,659.03 and 6,311.42

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Solution

The fourth proportional to 11,348.19, 15,659.03 and 6,311.42 is: 8,708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.19 : 15,659.03 = 6,311.42 : x
  2. Step 2: Convert to fraction form
    11,348.19/15,659.03 = 6,311.42/x
  3. Step 3: Cross multiply
    11,348.19x = 15,659.03 × 6,311.42
  4. Step 4: Simplify right side
    11,348.19x = 98,830,605.27
  5. Step 5: Solve for x
    x = 98,830,605.27/11,348.19
  6. Step 6: Final answer
    x = 8,708.93

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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.