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Finding the Fourth Proportional to 7,187.86, 10,782.25 and 2,257.70

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Solution

The fourth proportional to 7,187.86, 10,782.25 and 2,257.70 is: 3,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.86 : 10,782.25 = 2,257.70 : x
  2. Step 2: Convert to fraction form
    7,187.86/10,782.25 = 2,257.70/x
  3. Step 3: Cross multiply
    7,187.86x = 10,782.25 × 2,257.70
  4. Step 4: Simplify right side
    7,187.86x = 24,343,085.83
  5. Step 5: Solve for x
    x = 24,343,085.83/7,187.86
  6. Step 6: Final answer
    x = 3,386.69

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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.