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Finding the Fourth Proportional to 7,688.70, 11,533.15 and 2,141.91

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Solution

The fourth proportional to 7,688.70, 11,533.15 and 2,141.91 is: 3,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.70 : 11,533.15 = 2,141.91 : x
  2. Step 2: Convert to fraction form
    7,688.70/11,533.15 = 2,141.91/x
  3. Step 3: Cross multiply
    7,688.70x = 11,533.15 × 2,141.91
  4. Step 4: Simplify right side
    7,688.70x = 24,702,969.32
  5. Step 5: Solve for x
    x = 24,702,969.32/7,688.70
  6. Step 6: Final answer
    x = 3,212.89

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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.