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Finding the Fourth Proportional to 7,050.20, 10,575.84 and 1,856

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Solution

The fourth proportional to 7,050.20, 10,575.84 and 1,856 is: 2,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.20 : 10,575.84 = 1,856 : x
  2. Step 2: Convert to fraction form
    7,050.20/10,575.84 = 1,856/x
  3. Step 3: Cross multiply
    7,050.20x = 10,575.84 × 1,856
  4. Step 4: Simplify right side
    7,050.20x = 19,628,759.04
  5. Step 5: Solve for x
    x = 19,628,759.04/7,050.20
  6. Step 6: Final answer
    x = 2,784.14

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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.