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Finding the Fourth Proportional to 11,563.83, 15,958.06 and 6,258.66

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Solution

The fourth proportional to 11,563.83, 15,958.06 and 6,258.66 is: 8,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.83 : 15,958.06 = 6,258.66 : x
  2. Step 2: Convert to fraction form
    11,563.83/15,958.06 = 6,258.66/x
  3. Step 3: Cross multiply
    11,563.83x = 15,958.06 × 6,258.66
  4. Step 4: Simplify right side
    11,563.83x = 99,875,992.01
  5. Step 5: Solve for x
    x = 99,875,992.01/11,563.83
  6. Step 6: Final answer
    x = 8,636.93

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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.