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Finding the Fourth Proportional to 8,187.06, 11,298.15 and 4,461.06

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Solution

The fourth proportional to 8,187.06, 11,298.15 and 4,461.06 is: 6,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.06 : 11,298.15 = 4,461.06 : x
  2. Step 2: Convert to fraction form
    8,187.06/11,298.15 = 4,461.06/x
  3. Step 3: Cross multiply
    8,187.06x = 11,298.15 × 4,461.06
  4. Step 4: Simplify right side
    8,187.06x = 50,401,725.04
  5. Step 5: Solve for x
    x = 50,401,725.04/8,187.06
  6. Step 6: Final answer
    x = 6,156.27

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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.