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Finding the Fourth Proportional to 8,506.30, 11,742.68 and 5,678.46

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Solution

The fourth proportional to 8,506.30, 11,742.68 and 5,678.46 is: 7,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.30 : 11,742.68 = 5,678.46 : x
  2. Step 2: Convert to fraction form
    8,506.30/11,742.68 = 5,678.46/x
  3. Step 3: Cross multiply
    8,506.30x = 11,742.68 × 5,678.46
  4. Step 4: Simplify right side
    8,506.30x = 66,680,338.67
  5. Step 5: Solve for x
    x = 66,680,338.67/8,506.30
  6. Step 6: Final answer
    x = 7,838.94

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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.