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Finding the Fourth Proportional to 7,688, 11,553.66 and 4,568.60

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Solution

The fourth proportional to 7,688, 11,553.66 and 4,568.60 is: 6,865.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688 : 11,553.66 = 4,568.60 : x
  2. Step 2: Convert to fraction form
    7,688/11,553.66 = 4,568.60/x
  3. Step 3: Cross multiply
    7,688x = 11,553.66 × 4,568.60
  4. Step 4: Simplify right side
    7,688x = 52,784,051.08
  5. Step 5: Solve for x
    x = 52,784,051.08/7,688
  6. Step 6: Final answer
    x = 6,865.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.