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Finding the Fourth Proportional to 7,071.22, 9,759.36 and 5,088.34

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Solution

The fourth proportional to 7,071.22, 9,759.36 and 5,088.34 is: 7,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.22 : 9,759.36 = 5,088.34 : x
  2. Step 2: Convert to fraction form
    7,071.22/9,759.36 = 5,088.34/x
  3. Step 3: Cross multiply
    7,071.22x = 9,759.36 × 5,088.34
  4. Step 4: Simplify right side
    7,071.22x = 49,658,941.86
  5. Step 5: Solve for x
    x = 49,658,941.86/7,071.22
  6. Step 6: Final answer
    x = 7,022.68

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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.