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Finding the Fourth Proportional to 11,506.96, 15,890.01 and 7,265.53

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Solution

The fourth proportional to 11,506.96, 15,890.01 and 7,265.53 is: 10,033.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.96 : 15,890.01 = 7,265.53 : x
  2. Step 2: Convert to fraction form
    11,506.96/15,890.01 = 7,265.53/x
  3. Step 3: Cross multiply
    11,506.96x = 15,890.01 × 7,265.53
  4. Step 4: Simplify right side
    11,506.96x = 115,449,344.36
  5. Step 5: Solve for x
    x = 115,449,344.36/11,506.96
  6. Step 6: Final answer
    x = 10,033.00

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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.