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Finding the Fourth Proportional to 11,688.74, 16,130.85 and 6,972.38

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Solution

The fourth proportional to 11,688.74, 16,130.85 and 6,972.38 is: 9,622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.74 : 16,130.85 = 6,972.38 : x
  2. Step 2: Convert to fraction form
    11,688.74/16,130.85 = 6,972.38/x
  3. Step 3: Cross multiply
    11,688.74x = 16,130.85 × 6,972.38
  4. Step 4: Simplify right side
    11,688.74x = 112,470,415.92
  5. Step 5: Solve for x
    x = 112,470,415.92/11,688.74
  6. Step 6: Final answer
    x = 9,622.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.