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Finding the Fourth Proportional to 8,130.56, 11,177.10 and 6,992.06

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Solution

The fourth proportional to 8,130.56, 11,177.10 and 6,992.06 is: 9,612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.56 : 11,177.10 = 6,992.06 : x
  2. Step 2: Convert to fraction form
    8,130.56/11,177.10 = 6,992.06/x
  3. Step 3: Cross multiply
    8,130.56x = 11,177.10 × 6,992.06
  4. Step 4: Simplify right side
    8,130.56x = 78,150,953.83
  5. Step 5: Solve for x
    x = 78,150,953.83/8,130.56
  6. Step 6: Final answer
    x = 9,612.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.