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Finding the Fourth Proportional to 7,166.83, 10,729.36 and 5,326.10

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Solution

The fourth proportional to 7,166.83, 10,729.36 and 5,326.10 is: 7,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.83 : 10,729.36 = 5,326.10 : x
  2. Step 2: Convert to fraction form
    7,166.83/10,729.36 = 5,326.10/x
  3. Step 3: Cross multiply
    7,166.83x = 10,729.36 × 5,326.10
  4. Step 4: Simplify right side
    7,166.83x = 57,145,697.89
  5. Step 5: Solve for x
    x = 57,145,697.89/7,166.83
  6. Step 6: Final answer
    x = 7,973.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.