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Finding the Fourth Proportional to 11,258.46, 15,535.80 and 6,543

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Solution

The fourth proportional to 11,258.46, 15,535.80 and 6,543 is: 9,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,258.46 : 15,535.80 = 6,543 : x
  2. Step 2: Convert to fraction form
    11,258.46/15,535.80 = 6,543/x
  3. Step 3: Cross multiply
    11,258.46x = 15,535.80 × 6,543
  4. Step 4: Simplify right side
    11,258.46x = 101,650,739.40
  5. Step 5: Solve for x
    x = 101,650,739.40/11,258.46
  6. Step 6: Final answer
    x = 9,028.83

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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.