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Finding the Fourth Proportional to 7,139.64, 10,706.79 and 2,458.32

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Solution

The fourth proportional to 7,139.64, 10,706.79 and 2,458.32 is: 3,686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.64 : 10,706.79 = 2,458.32 : x
  2. Step 2: Convert to fraction form
    7,139.64/10,706.79 = 2,458.32/x
  3. Step 3: Cross multiply
    7,139.64x = 10,706.79 × 2,458.32
  4. Step 4: Simplify right side
    7,139.64x = 26,320,715.99
  5. Step 5: Solve for x
    x = 26,320,715.99/7,139.64
  6. Step 6: Final answer
    x = 3,686.56

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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.