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Finding the Fourth Proportional to 11,868.02, 16,376.18 and 6,830.32

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Solution

The fourth proportional to 11,868.02, 16,376.18 and 6,830.32 is: 9,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.02 : 16,376.18 = 6,830.32 : x
  2. Step 2: Convert to fraction form
    11,868.02/16,376.18 = 6,830.32/x
  3. Step 3: Cross multiply
    11,868.02x = 16,376.18 × 6,830.32
  4. Step 4: Simplify right side
    11,868.02x = 111,854,549.78
  5. Step 5: Solve for x
    x = 111,854,549.78/11,868.02
  6. Step 6: Final answer
    x = 9,424.87

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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.