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Finding the Fourth Proportional to 11,209.46, 15,463.04 and 6,957.86

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Solution

The fourth proportional to 11,209.46, 15,463.04 and 6,957.86 is: 9,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.46 : 15,463.04 = 6,957.86 : x
  2. Step 2: Convert to fraction form
    11,209.46/15,463.04 = 6,957.86/x
  3. Step 3: Cross multiply
    11,209.46x = 15,463.04 × 6,957.86
  4. Step 4: Simplify right side
    11,209.46x = 107,589,667.49
  5. Step 5: Solve for x
    x = 107,589,667.49/11,209.46
  6. Step 6: Final answer
    x = 9,598.11

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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.