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Finding the Fourth Proportional to 12,787.28, 17,646.45 and 7,123.11

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Solution

The fourth proportional to 12,787.28, 17,646.45 and 7,123.11 is: 9,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.28 : 17,646.45 = 7,123.11 : x
  2. Step 2: Convert to fraction form
    12,787.28/17,646.45 = 7,123.11/x
  3. Step 3: Cross multiply
    12,787.28x = 17,646.45 × 7,123.11
  4. Step 4: Simplify right side
    12,787.28x = 125,697,604.46
  5. Step 5: Solve for x
    x = 125,697,604.46/12,787.28
  6. Step 6: Final answer
    x = 9,829.90

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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.