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Finding the Fourth Proportional to 8,411.51, 12,594.18 and 6,847.85

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Solution

The fourth proportional to 8,411.51, 12,594.18 and 6,847.85 is: 10,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.51 : 12,594.18 = 6,847.85 : x
  2. Step 2: Convert to fraction form
    8,411.51/12,594.18 = 6,847.85/x
  3. Step 3: Cross multiply
    8,411.51x = 12,594.18 × 6,847.85
  4. Step 4: Simplify right side
    8,411.51x = 86,243,055.51
  5. Step 5: Solve for x
    x = 86,243,055.51/8,411.51
  6. Step 6: Final answer
    x = 10,252.98

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