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Finding the Fourth Proportional to 7,120.58, 9,814.65 and 4,761.86

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Solution

The fourth proportional to 7,120.58, 9,814.65 and 4,761.86 is: 6,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.58 : 9,814.65 = 4,761.86 : x
  2. Step 2: Convert to fraction form
    7,120.58/9,814.65 = 4,761.86/x
  3. Step 3: Cross multiply
    7,120.58x = 9,814.65 × 4,761.86
  4. Step 4: Simplify right side
    7,120.58x = 46,735,989.25
  5. Step 5: Solve for x
    x = 46,735,989.25/7,120.58
  6. Step 6: Final answer
    x = 6,563.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.