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Finding the Fourth Proportional to 7,140.24, 9,856.62 and 5,372.28

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Solution

The fourth proportional to 7,140.24, 9,856.62 and 5,372.28 is: 7,416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.24 : 9,856.62 = 5,372.28 : x
  2. Step 2: Convert to fraction form
    7,140.24/9,856.62 = 5,372.28/x
  3. Step 3: Cross multiply
    7,140.24x = 9,856.62 × 5,372.28
  4. Step 4: Simplify right side
    7,140.24x = 52,952,522.49
  5. Step 5: Solve for x
    x = 52,952,522.49/7,140.24
  6. Step 6: Final answer
    x = 7,416.07

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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.