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Finding the Fourth Proportional to 10,813.04, 14,922.06 and 6,835.94

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Solution

The fourth proportional to 10,813.04, 14,922.06 and 6,835.94 is: 9,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.04 : 14,922.06 = 6,835.94 : x
  2. Step 2: Convert to fraction form
    10,813.04/14,922.06 = 6,835.94/x
  3. Step 3: Cross multiply
    10,813.04x = 14,922.06 × 6,835.94
  4. Step 4: Simplify right side
    10,813.04x = 102,006,306.84
  5. Step 5: Solve for x
    x = 102,006,306.84/10,813.04
  6. Step 6: Final answer
    x = 9,433.64

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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.