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Finding the Fourth Proportional to 11,544.48, 15,930.44 and 6,509.94

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Solution

The fourth proportional to 11,544.48, 15,930.44 and 6,509.94 is: 8,983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.48 : 15,930.44 = 6,509.94 : x
  2. Step 2: Convert to fraction form
    11,544.48/15,930.44 = 6,509.94/x
  3. Step 3: Cross multiply
    11,544.48x = 15,930.44 × 6,509.94
  4. Step 4: Simplify right side
    11,544.48x = 103,706,176.02
  5. Step 5: Solve for x
    x = 103,706,176.02/11,544.48
  6. Step 6: Final answer
    x = 8,983.18

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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.