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Finding the Fourth Proportional to 8,482.14, 12,714.75 and 4,097.19

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Solution

The fourth proportional to 8,482.14, 12,714.75 and 4,097.19 is: 6,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.14 : 12,714.75 = 4,097.19 : x
  2. Step 2: Convert to fraction form
    8,482.14/12,714.75 = 4,097.19/x
  3. Step 3: Cross multiply
    8,482.14x = 12,714.75 × 4,097.19
  4. Step 4: Simplify right side
    8,482.14x = 52,094,746.55
  5. Step 5: Solve for x
    x = 52,094,746.55/8,482.14
  6. Step 6: Final answer
    x = 6,141.70

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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.