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Finding the Fourth Proportional to 11,825.87, 16,320.65 and 6,521.76

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Solution

The fourth proportional to 11,825.87, 16,320.65 and 6,521.76 is: 9,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.87 : 16,320.65 = 6,521.76 : x
  2. Step 2: Convert to fraction form
    11,825.87/16,320.65 = 6,521.76/x
  3. Step 3: Cross multiply
    11,825.87x = 16,320.65 × 6,521.76
  4. Step 4: Simplify right side
    11,825.87x = 106,439,329.74
  5. Step 5: Solve for x
    x = 106,439,329.74/11,825.87
  6. Step 6: Final answer
    x = 9,000.55

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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.