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Finding the Fourth Proportional to 7,166.07, 9,888.06 and 4,021.65

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Solution

The fourth proportional to 7,166.07, 9,888.06 and 4,021.65 is: 5,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.07 : 9,888.06 = 4,021.65 : x
  2. Step 2: Convert to fraction form
    7,166.07/9,888.06 = 4,021.65/x
  3. Step 3: Cross multiply
    7,166.07x = 9,888.06 × 4,021.65
  4. Step 4: Simplify right side
    7,166.07x = 39,766,316.50
  5. Step 5: Solve for x
    x = 39,766,316.50/7,166.07
  6. Step 6: Final answer
    x = 5,549.25

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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.