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Finding the Fourth Proportional to 8,187.84, 12,284.19 and 3,807.90

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Solution

The fourth proportional to 8,187.84, 12,284.19 and 3,807.90 is: 5,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.84 : 12,284.19 = 3,807.90 : x
  2. Step 2: Convert to fraction form
    8,187.84/12,284.19 = 3,807.90/x
  3. Step 3: Cross multiply
    8,187.84x = 12,284.19 × 3,807.90
  4. Step 4: Simplify right side
    8,187.84x = 46,776,967.10
  5. Step 5: Solve for x
    x = 46,776,967.10/8,187.84
  6. Step 6: Final answer
    x = 5,712.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.