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Finding the Fourth Proportional to 8,402.54, 11,598.19 and 5,047.92

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Solution

The fourth proportional to 8,402.54, 11,598.19 and 5,047.92 is: 6,967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.54 : 11,598.19 = 5,047.92 : x
  2. Step 2: Convert to fraction form
    8,402.54/11,598.19 = 5,047.92/x
  3. Step 3: Cross multiply
    8,402.54x = 11,598.19 × 5,047.92
  4. Step 4: Simplify right side
    8,402.54x = 58,546,722.65
  5. Step 5: Solve for x
    x = 58,546,722.65/8,402.54
  6. Step 6: Final answer
    x = 6,967.75

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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.