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Finding the Fourth Proportional to 11,463.93, 15,817.68 and 7,269.75

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Solution

The fourth proportional to 11,463.93, 15,817.68 and 7,269.75 is: 10,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.93 : 15,817.68 = 7,269.75 : x
  2. Step 2: Convert to fraction form
    11,463.93/15,817.68 = 7,269.75/x
  3. Step 3: Cross multiply
    11,463.93x = 15,817.68 × 7,269.75
  4. Step 4: Simplify right side
    11,463.93x = 114,990,579.18
  5. Step 5: Solve for x
    x = 114,990,579.18/11,463.93
  6. Step 6: Final answer
    x = 10,030.64

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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.