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Finding the Fourth Proportional to 11,258.98, 15,539.32 and 6,546

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Solution

The fourth proportional to 11,258.98, 15,539.32 and 6,546 is: 9,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,258.98 : 15,539.32 = 6,546 : x
  2. Step 2: Convert to fraction form
    11,258.98/15,539.32 = 6,546/x
  3. Step 3: Cross multiply
    11,258.98x = 15,539.32 × 6,546
  4. Step 4: Simplify right side
    11,258.98x = 101,720,388.72
  5. Step 5: Solve for x
    x = 101,720,388.72/11,258.98
  6. Step 6: Final answer
    x = 9,034.60

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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.