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Finding the Fourth Proportional to 8,187.38, 11,298.10 and 4,829.99

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Solution

The fourth proportional to 8,187.38, 11,298.10 and 4,829.99 is: 6,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.38 : 11,298.10 = 4,829.99 : x
  2. Step 2: Convert to fraction form
    8,187.38/11,298.10 = 4,829.99/x
  3. Step 3: Cross multiply
    8,187.38x = 11,298.10 × 4,829.99
  4. Step 4: Simplify right side
    8,187.38x = 54,569,710.02
  5. Step 5: Solve for x
    x = 54,569,710.02/8,187.38
  6. Step 6: Final answer
    x = 6,665.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.