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Finding the Fourth Proportional to 8,971.16, 12,380.13 and 4,992.29

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Solution

The fourth proportional to 8,971.16, 12,380.13 and 4,992.29 is: 6,889.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.16 : 12,380.13 = 4,992.29 : x
  2. Step 2: Convert to fraction form
    8,971.16/12,380.13 = 4,992.29/x
  3. Step 3: Cross multiply
    8,971.16x = 12,380.13 × 4,992.29
  4. Step 4: Simplify right side
    8,971.16x = 61,805,199.20
  5. Step 5: Solve for x
    x = 61,805,199.20/8,971.16
  6. Step 6: Final answer
    x = 6,889.32

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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.