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Finding the Fourth Proportional to 8,385.84, 12,578.40 and 2,838.96

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Solution

The fourth proportional to 8,385.84, 12,578.40 and 2,838.96 is: 4,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.84 : 12,578.40 = 2,838.96 : x
  2. Step 2: Convert to fraction form
    8,385.84/12,578.40 = 2,838.96/x
  3. Step 3: Cross multiply
    8,385.84x = 12,578.40 × 2,838.96
  4. Step 4: Simplify right side
    8,385.84x = 35,709,574.46
  5. Step 5: Solve for x
    x = 35,709,574.46/8,385.84
  6. Step 6: Final answer
    x = 4,258.32

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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.