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Finding the Fourth Proportional to 7,139.60, 10,707.48 and 2,522

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Solution

The fourth proportional to 7,139.60, 10,707.48 and 2,522 is: 3,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.60 : 10,707.48 = 2,522 : x
  2. Step 2: Convert to fraction form
    7,139.60/10,707.48 = 2,522/x
  3. Step 3: Cross multiply
    7,139.60x = 10,707.48 × 2,522
  4. Step 4: Simplify right side
    7,139.60x = 27,004,264.56
  5. Step 5: Solve for x
    x = 27,004,264.56/7,139.60
  6. Step 6: Final answer
    x = 3,782.32

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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.