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Finding the Fourth Proportional to 7,164.22, 10,762.80 and 5,089.27

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Solution

The fourth proportional to 7,164.22, 10,762.80 and 5,089.27 is: 7,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.22 : 10,762.80 = 5,089.27 : x
  2. Step 2: Convert to fraction form
    7,164.22/10,762.80 = 5,089.27/x
  3. Step 3: Cross multiply
    7,164.22x = 10,762.80 × 5,089.27
  4. Step 4: Simplify right side
    7,164.22x = 54,774,795.16
  5. Step 5: Solve for x
    x = 54,774,795.16/7,164.22
  6. Step 6: Final answer
    x = 7,645.60

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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.