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Finding the Fourth Proportional to 11,826, 16,320 and 7,110.36

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Solution

The fourth proportional to 11,826, 16,320 and 7,110.36 is: 9,812.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826 : 16,320 = 7,110.36 : x
  2. Step 2: Convert to fraction form
    11,826/16,320 = 7,110.36/x
  3. Step 3: Cross multiply
    11,826x = 16,320 × 7,110.36
  4. Step 4: Simplify right side
    11,826x = 116,041,075.20
  5. Step 5: Solve for x
    x = 116,041,075.20/11,826
  6. Step 6: Final answer
    x = 9,812.37

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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.