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Finding the Fourth Proportional to 8,435.16, 12,652.91 and 2,894.87

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Solution

The fourth proportional to 8,435.16, 12,652.91 and 2,894.87 is: 4,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.16 : 12,652.91 = 2,894.87 : x
  2. Step 2: Convert to fraction form
    8,435.16/12,652.91 = 2,894.87/x
  3. Step 3: Cross multiply
    8,435.16x = 12,652.91 × 2,894.87
  4. Step 4: Simplify right side
    8,435.16x = 36,628,529.57
  5. Step 5: Solve for x
    x = 36,628,529.57/8,435.16
  6. Step 6: Final answer
    x = 4,342.36

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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.