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Finding the Fourth Proportional to 7,683.63, 11,535.17 and 4,714.78

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Solution

The fourth proportional to 7,683.63, 11,535.17 and 4,714.78 is: 7,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.63 : 11,535.17 = 4,714.78 : x
  2. Step 2: Convert to fraction form
    7,683.63/11,535.17 = 4,714.78/x
  3. Step 3: Cross multiply
    7,683.63x = 11,535.17 × 4,714.78
  4. Step 4: Simplify right side
    7,683.63x = 54,385,707.56
  5. Step 5: Solve for x
    x = 54,385,707.56/7,683.63
  6. Step 6: Final answer
    x = 7,078.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.