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Finding the Fourth Proportional to 7,161.99, 9,875.56 and 4,640.79

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Solution

The fourth proportional to 7,161.99, 9,875.56 and 4,640.79 is: 6,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.99 : 9,875.56 = 4,640.79 : x
  2. Step 2: Convert to fraction form
    7,161.99/9,875.56 = 4,640.79/x
  3. Step 3: Cross multiply
    7,161.99x = 9,875.56 × 4,640.79
  4. Step 4: Simplify right side
    7,161.99x = 45,830,400.09
  5. Step 5: Solve for x
    x = 45,830,400.09/7,161.99
  6. Step 6: Final answer
    x = 6,399.11

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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.