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Finding the Fourth Proportional to 11,688.76, 16,130.82 and 6,384.16

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Solution

The fourth proportional to 11,688.76, 16,130.82 and 6,384.16 is: 8,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.76 : 16,130.82 = 6,384.16 : x
  2. Step 2: Convert to fraction form
    11,688.76/16,130.82 = 6,384.16/x
  3. Step 3: Cross multiply
    11,688.76x = 16,130.82 × 6,384.16
  4. Step 4: Simplify right side
    11,688.76x = 102,981,735.81
  5. Step 5: Solve for x
    x = 102,981,735.81/11,688.76
  6. Step 6: Final answer
    x = 8,810.32

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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.