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Finding the Fourth Proportional to 11,688.66, 17,516.64 and 6,424.74

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Solution

The fourth proportional to 11,688.66, 17,516.64 and 6,424.74 is: 9,628.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.66 : 17,516.64 = 6,424.74 : x
  2. Step 2: Convert to fraction form
    11,688.66/17,516.64 = 6,424.74/x
  3. Step 3: Cross multiply
    11,688.66x = 17,516.64 × 6,424.74
  4. Step 4: Simplify right side
    11,688.66x = 112,539,857.67
  5. Step 5: Solve for x
    x = 112,539,857.67/11,688.66
  6. Step 6: Final answer
    x = 9,628.12

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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.