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Finding the Fourth Proportional to 11,237.50, 15,507.75 and 6,269.50

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Solution

The fourth proportional to 11,237.50, 15,507.75 and 6,269.50 is: 8,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,237.50 : 15,507.75 = 6,269.50 : x
  2. Step 2: Convert to fraction form
    11,237.50/15,507.75 = 6,269.50/x
  3. Step 3: Cross multiply
    11,237.50x = 15,507.75 × 6,269.50
  4. Step 4: Simplify right side
    11,237.50x = 97,225,838.63
  5. Step 5: Solve for x
    x = 97,225,838.63/11,237.50
  6. Step 6: Final answer
    x = 8,651.91

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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.