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Finding the Fourth Proportional to 7,301.64, 10,952.28 and 3,138.24

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Solution

The fourth proportional to 7,301.64, 10,952.28 and 3,138.24 is: 4,707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.64 : 10,952.28 = 3,138.24 : x
  2. Step 2: Convert to fraction form
    7,301.64/10,952.28 = 3,138.24/x
  3. Step 3: Cross multiply
    7,301.64x = 10,952.28 × 3,138.24
  4. Step 4: Simplify right side
    7,301.64x = 34,370,883.19
  5. Step 5: Solve for x
    x = 34,370,883.19/7,301.64
  6. Step 6: Final answer
    x = 4,707.28

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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.