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Finding the Fourth Proportional to 7,165.40, 9,888.26 and 4,021.61

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Solution

The fourth proportional to 7,165.40, 9,888.26 and 4,021.61 is: 5,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.40 : 9,888.26 = 4,021.61 : x
  2. Step 2: Convert to fraction form
    7,165.40/9,888.26 = 4,021.61/x
  3. Step 3: Cross multiply
    7,165.40x = 9,888.26 × 4,021.61
  4. Step 4: Simplify right side
    7,165.40x = 39,766,655.75
  5. Step 5: Solve for x
    x = 39,766,655.75/7,165.40
  6. Step 6: Final answer
    x = 5,549.82

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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.