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Finding the Fourth Proportional to 11,364.17, 15,680.16 and 6,647.54

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Solution

The fourth proportional to 11,364.17, 15,680.16 and 6,647.54 is: 9,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.17 : 15,680.16 = 6,647.54 : x
  2. Step 2: Convert to fraction form
    11,364.17/15,680.16 = 6,647.54/x
  3. Step 3: Cross multiply
    11,364.17x = 15,680.16 × 6,647.54
  4. Step 4: Simplify right side
    11,364.17x = 104,234,490.81
  5. Step 5: Solve for x
    x = 104,234,490.81/11,364.17
  6. Step 6: Final answer
    x = 9,172.20

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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.