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Finding the Fourth Proportional to 11,834.70, 16,332.40 and 6,529.20

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Solution

The fourth proportional to 11,834.70, 16,332.40 and 6,529.20 is: 9,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.70 : 16,332.40 = 6,529.20 : x
  2. Step 2: Convert to fraction form
    11,834.70/16,332.40 = 6,529.20/x
  3. Step 3: Cross multiply
    11,834.70x = 16,332.40 × 6,529.20
  4. Step 4: Simplify right side
    11,834.70x = 106,637,506.08
  5. Step 5: Solve for x
    x = 106,637,506.08/11,834.70
  6. Step 6: Final answer
    x = 9,010.58

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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.