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Finding the Fourth Proportional to 7,051.16, 10,575.89 and 1,857.44

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Solution

The fourth proportional to 7,051.16, 10,575.89 and 1,857.44 is: 2,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.16 : 10,575.89 = 1,857.44 : x
  2. Step 2: Convert to fraction form
    7,051.16/10,575.89 = 1,857.44/x
  3. Step 3: Cross multiply
    7,051.16x = 10,575.89 × 1,857.44
  4. Step 4: Simplify right side
    7,051.16x = 19,644,081.12
  5. Step 5: Solve for x
    x = 19,644,081.12/7,051.16
  6. Step 6: Final answer
    x = 2,785.94

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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.