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Finding the Fourth Proportional to 11,366.93, 15,676.69 and 9,583.16

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Solution

The fourth proportional to 11,366.93, 15,676.69 and 9,583.16 is: 13,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,366.93 : 15,676.69 = 9,583.16 : x
  2. Step 2: Convert to fraction form
    11,366.93/15,676.69 = 9,583.16/x
  3. Step 3: Cross multiply
    11,366.93x = 15,676.69 × 9,583.16
  4. Step 4: Simplify right side
    11,366.93x = 150,232,232.35
  5. Step 5: Solve for x
    x = 150,232,232.35/11,366.93
  6. Step 6: Final answer
    x = 13,216.60

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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.