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Finding the Fourth Proportional to 7,448.30, 10,275.28 and 5,958.30

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Solution

The fourth proportional to 7,448.30, 10,275.28 and 5,958.30 is: 8,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.30 : 10,275.28 = 5,958.30 : x
  2. Step 2: Convert to fraction form
    7,448.30/10,275.28 = 5,958.30/x
  3. Step 3: Cross multiply
    7,448.30x = 10,275.28 × 5,958.30
  4. Step 4: Simplify right side
    7,448.30x = 61,223,200.82
  5. Step 5: Solve for x
    x = 61,223,200.82/7,448.30
  6. Step 6: Final answer
    x = 8,219.75

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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.