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Finding the Fourth Proportional to 11,835.64, 16,334.10 and 6,530.92

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Solution

The fourth proportional to 11,835.64, 16,334.10 and 6,530.92 is: 9,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.64 : 16,334.10 = 6,530.92 : x
  2. Step 2: Convert to fraction form
    11,835.64/16,334.10 = 6,530.92/x
  3. Step 3: Cross multiply
    11,835.64x = 16,334.10 × 6,530.92
  4. Step 4: Simplify right side
    11,835.64x = 106,676,700.37
  5. Step 5: Solve for x
    x = 106,676,700.37/11,835.64
  6. Step 6: Final answer
    x = 9,013.18

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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.