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Finding the Fourth Proportional to 10,787.84, 14,889.12 and 10,295.36

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Solution

The fourth proportional to 10,787.84, 14,889.12 and 10,295.36 is: 14,209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787.84 : 14,889.12 = 10,295.36 : x
  2. Step 2: Convert to fraction form
    10,787.84/14,889.12 = 10,295.36/x
  3. Step 3: Cross multiply
    10,787.84x = 14,889.12 × 10,295.36
  4. Step 4: Simplify right side
    10,787.84x = 153,288,850.48
  5. Step 5: Solve for x
    x = 153,288,850.48/10,787.84
  6. Step 6: Final answer
    x = 14,209.41

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