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Finding the Fourth Proportional to 12,966.76, 19,438.62 and 4,753

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Solution

The fourth proportional to 12,966.76, 19,438.62 and 4,753 is: 7,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.76 : 19,438.62 = 4,753 : x
  2. Step 2: Convert to fraction form
    12,966.76/19,438.62 = 4,753/x
  3. Step 3: Cross multiply
    12,966.76x = 19,438.62 × 4,753
  4. Step 4: Simplify right side
    12,966.76x = 92,391,760.86
  5. Step 5: Solve for x
    x = 92,391,760.86/12,966.76
  6. Step 6: Final answer
    x = 7,125.28

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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.