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Finding the Fourth Proportional to 12,787.83, 17,646.51 and 7,122.30

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Solution

The fourth proportional to 12,787.83, 17,646.51 and 7,122.30 is: 9,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.83 : 17,646.51 = 7,122.30 : x
  2. Step 2: Convert to fraction form
    12,787.83/17,646.51 = 7,122.30/x
  3. Step 3: Cross multiply
    12,787.83x = 17,646.51 × 7,122.30
  4. Step 4: Simplify right side
    12,787.83x = 125,683,738.17
  5. Step 5: Solve for x
    x = 125,683,738.17/12,787.83
  6. Step 6: Final answer
    x = 9,828.39

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Why These Related Problems?

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