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Finding the Fourth Proportional to 8,482.28, 12,714.96 and 4,032.14

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Solution

The fourth proportional to 8,482.28, 12,714.96 and 4,032.14 is: 6,044.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.28 : 12,714.96 = 4,032.14 : x
  2. Step 2: Convert to fraction form
    8,482.28/12,714.96 = 4,032.14/x
  3. Step 3: Cross multiply
    8,482.28x = 12,714.96 × 4,032.14
  4. Step 4: Simplify right side
    8,482.28x = 51,268,498.81
  5. Step 5: Solve for x
    x = 51,268,498.81/8,482.28
  6. Step 6: Final answer
    x = 6,044.19

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Why These Related Problems?

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