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Finding the Fourth Proportional to 7,071.57, 10,610.87 and 5,004.86

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Solution

The fourth proportional to 7,071.57, 10,610.87 and 5,004.86 is: 7,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.57 : 10,610.87 = 5,004.86 : x
  2. Step 2: Convert to fraction form
    7,071.57/10,610.87 = 5,004.86/x
  3. Step 3: Cross multiply
    7,071.57x = 10,610.87 × 5,004.86
  4. Step 4: Simplify right side
    7,071.57x = 53,105,840.75
  5. Step 5: Solve for x
    x = 53,105,840.75/7,071.57
  6. Step 6: Final answer
    x = 7,509.77

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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.