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Finding the Fourth Proportional to 12,714.10, 19,072.41 and 4,711

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Solution

The fourth proportional to 12,714.10, 19,072.41 and 4,711 is: 7,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.10 : 19,072.41 = 4,711 : x
  2. Step 2: Convert to fraction form
    12,714.10/19,072.41 = 4,711/x
  3. Step 3: Cross multiply
    12,714.10x = 19,072.41 × 4,711
  4. Step 4: Simplify right side
    12,714.10x = 89,850,123.51
  5. Step 5: Solve for x
    x = 89,850,123.51/12,714.10
  6. Step 6: Final answer
    x = 7,066.97

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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.