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Finding the Fourth Proportional to 8,269.96, 11,409.78 and 4,956.04

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Solution

The fourth proportional to 8,269.96, 11,409.78 and 4,956.04 is: 6,837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.96 : 11,409.78 = 4,956.04 : x
  2. Step 2: Convert to fraction form
    8,269.96/11,409.78 = 4,956.04/x
  3. Step 3: Cross multiply
    8,269.96x = 11,409.78 × 4,956.04
  4. Step 4: Simplify right side
    8,269.96x = 56,547,326.07
  5. Step 5: Solve for x
    x = 56,547,326.07/8,269.96
  6. Step 6: Final answer
    x = 6,837.68

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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.