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Finding the Fourth Proportional to 11,902.29, 16,423.65 and 6,597.06

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Solution

The fourth proportional to 11,902.29, 16,423.65 and 6,597.06 is: 9,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.29 : 16,423.65 = 6,597.06 : x
  2. Step 2: Convert to fraction form
    11,902.29/16,423.65 = 6,597.06/x
  3. Step 3: Cross multiply
    11,902.29x = 16,423.65 × 6,597.06
  4. Step 4: Simplify right side
    11,902.29x = 108,347,804.47
  5. Step 5: Solve for x
    x = 108,347,804.47/11,902.29
  6. Step 6: Final answer
    x = 9,103.11

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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.