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Finding the Fourth Proportional to 11,205.50, 15,463.60 and 6,237.50

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Solution

The fourth proportional to 11,205.50, 15,463.60 and 6,237.50 is: 8,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.50 : 15,463.60 = 6,237.50 : x
  2. Step 2: Convert to fraction form
    11,205.50/15,463.60 = 6,237.50/x
  3. Step 3: Cross multiply
    11,205.50x = 15,463.60 × 6,237.50
  4. Step 4: Simplify right side
    11,205.50x = 96,454,205
  5. Step 5: Solve for x
    x = 96,454,205/11,205.50
  6. Step 6: Final answer
    x = 8,607.76

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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.