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Finding the Fourth Proportional to 7,161.75, 9,887.54 and 4,682.07

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Solution

The fourth proportional to 7,161.75, 9,887.54 and 4,682.07 is: 6,464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.75 : 9,887.54 = 4,682.07 : x
  2. Step 2: Convert to fraction form
    7,161.75/9,887.54 = 4,682.07/x
  3. Step 3: Cross multiply
    7,161.75x = 9,887.54 × 4,682.07
  4. Step 4: Simplify right side
    7,161.75x = 46,294,154.41
  5. Step 5: Solve for x
    x = 46,294,154.41/7,161.75
  6. Step 6: Final answer
    x = 6,464.08

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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.