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Finding the Fourth Proportional to 7,645.09, 10,550.49 and 4,457.87

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Solution

The fourth proportional to 7,645.09, 10,550.49 and 4,457.87 is: 6,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.09 : 10,550.49 = 4,457.87 : x
  2. Step 2: Convert to fraction form
    7,645.09/10,550.49 = 4,457.87/x
  3. Step 3: Cross multiply
    7,645.09x = 10,550.49 × 4,457.87
  4. Step 4: Simplify right side
    7,645.09x = 47,032,739.23
  5. Step 5: Solve for x
    x = 47,032,739.23/7,645.09
  6. Step 6: Final answer
    x = 6,152.02

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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.