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Finding the Fourth Proportional to 11,688.81, 17,526.98 and 5,107.29

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Solution

The fourth proportional to 11,688.81, 17,526.98 and 5,107.29 is: 7,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.81 : 17,526.98 = 5,107.29 : x
  2. Step 2: Convert to fraction form
    11,688.81/17,526.98 = 5,107.29/x
  3. Step 3: Cross multiply
    11,688.81x = 17,526.98 × 5,107.29
  4. Step 4: Simplify right side
    11,688.81x = 89,515,288.00
  5. Step 5: Solve for x
    x = 89,515,288.00/11,688.81
  6. Step 6: Final answer
    x = 7,658.21

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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.