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Finding the Fourth Proportional to 11,055.63, 15,258.78 and 6,582

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Solution

The fourth proportional to 11,055.63, 15,258.78 and 6,582 is: 9,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,055.63 : 15,258.78 = 6,582 : x
  2. Step 2: Convert to fraction form
    11,055.63/15,258.78 = 6,582/x
  3. Step 3: Cross multiply
    11,055.63x = 15,258.78 × 6,582
  4. Step 4: Simplify right side
    11,055.63x = 100,433,289.96
  5. Step 5: Solve for x
    x = 100,433,289.96/11,055.63
  6. Step 6: Final answer
    x = 9,084.36

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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.