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Finding the Fourth Proportional to 11,830.32, 16,325.90 and 6,525.13

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Solution

The fourth proportional to 11,830.32, 16,325.90 and 6,525.13 is: 9,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.32 : 16,325.90 = 6,525.13 : x
  2. Step 2: Convert to fraction form
    11,830.32/16,325.90 = 6,525.13/x
  3. Step 3: Cross multiply
    11,830.32x = 16,325.90 × 6,525.13
  4. Step 4: Simplify right side
    11,830.32x = 106,528,619.87
  5. Step 5: Solve for x
    x = 106,528,619.87/11,830.32
  6. Step 6: Final answer
    x = 9,004.71

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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.