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Finding the Fourth Proportional to 8,032.41, 11,085.15 and 5,047.14

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Solution

The fourth proportional to 8,032.41, 11,085.15 and 5,047.14 is: 6,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.41 : 11,085.15 = 5,047.14 : x
  2. Step 2: Convert to fraction form
    8,032.41/11,085.15 = 5,047.14/x
  3. Step 3: Cross multiply
    8,032.41x = 11,085.15 × 5,047.14
  4. Step 4: Simplify right side
    8,032.41x = 55,948,303.97
  5. Step 5: Solve for x
    x = 55,948,303.97/8,032.41
  6. Step 6: Final answer
    x = 6,965.32

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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.