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Finding the Fourth Proportional to 11,809.60, 16,296.66 and 6,503.42

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Solution

The fourth proportional to 11,809.60, 16,296.66 and 6,503.42 is: 8,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.60 : 16,296.66 = 6,503.42 : x
  2. Step 2: Convert to fraction form
    11,809.60/16,296.66 = 6,503.42/x
  3. Step 3: Cross multiply
    11,809.60x = 16,296.66 × 6,503.42
  4. Step 4: Simplify right side
    11,809.60x = 105,984,065.32
  5. Step 5: Solve for x
    x = 105,984,065.32/11,809.60
  6. Step 6: Final answer
    x = 8,974.40

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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.