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Finding the Fourth Proportional to 7,004.64, 10,497.60 and 5,147.04

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Solution

The fourth proportional to 7,004.64, 10,497.60 and 5,147.04 is: 7,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.64 : 10,497.60 = 5,147.04 : x
  2. Step 2: Convert to fraction form
    7,004.64/10,497.60 = 5,147.04/x
  3. Step 3: Cross multiply
    7,004.64x = 10,497.60 × 5,147.04
  4. Step 4: Simplify right side
    7,004.64x = 54,031,567.10
  5. Step 5: Solve for x
    x = 54,031,567.10/7,004.64
  6. Step 6: Final answer
    x = 7,713.68

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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.