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Finding the Fourth Proportional to 7,090.89, 9,788.66 and 4,106.13

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Solution

The fourth proportional to 7,090.89, 9,788.66 and 4,106.13 is: 5,668.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.89 : 9,788.66 = 4,106.13 : x
  2. Step 2: Convert to fraction form
    7,090.89/9,788.66 = 4,106.13/x
  3. Step 3: Cross multiply
    7,090.89x = 9,788.66 × 4,106.13
  4. Step 4: Simplify right side
    7,090.89x = 40,193,510.49
  5. Step 5: Solve for x
    x = 40,193,510.49/7,090.89
  6. Step 6: Final answer
    x = 5,668.33

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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.