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Finding the Fourth Proportional to 7,714.96, 11,570.04 and 2,783.96

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Solution

The fourth proportional to 7,714.96, 11,570.04 and 2,783.96 is: 4,175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.96 : 11,570.04 = 2,783.96 : x
  2. Step 2: Convert to fraction form
    7,714.96/11,570.04 = 2,783.96/x
  3. Step 3: Cross multiply
    7,714.96x = 11,570.04 × 2,783.96
  4. Step 4: Simplify right side
    7,714.96x = 32,210,470.71
  5. Step 5: Solve for x
    x = 32,210,470.71/7,714.96
  6. Step 6: Final answer
    x = 4,175.07

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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.