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Finding the Fourth Proportional to 11,563.65, 15,957.82 and 6,258.45

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Solution

The fourth proportional to 11,563.65, 15,957.82 and 6,258.45 is: 8,636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.65 : 15,957.82 = 6,258.45 : x
  2. Step 2: Convert to fraction form
    11,563.65/15,957.82 = 6,258.45/x
  3. Step 3: Cross multiply
    11,563.65x = 15,957.82 × 6,258.45
  4. Step 4: Simplify right side
    11,563.65x = 99,871,286.24
  5. Step 5: Solve for x
    x = 99,871,286.24/11,563.65
  6. Step 6: Final answer
    x = 8,636.66

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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.