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Finding the Fourth Proportional to 11,563.32, 15,957.39 and 6,258.12

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Solution

The fourth proportional to 11,563.32, 15,957.39 and 6,258.12 is: 8,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.32 : 15,957.39 = 6,258.12 : x
  2. Step 2: Convert to fraction form
    11,563.32/15,957.39 = 6,258.12/x
  3. Step 3: Cross multiply
    11,563.32x = 15,957.39 × 6,258.12
  4. Step 4: Simplify right side
    11,563.32x = 99,863,261.51
  5. Step 5: Solve for x
    x = 99,863,261.51/11,563.32
  6. Step 6: Final answer
    x = 8,636.21

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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.