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Finding the Fourth Proportional to 6,989.26, 10,470.18 and 4,642.28

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Solution

The fourth proportional to 6,989.26, 10,470.18 and 4,642.28 is: 6,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.26 : 10,470.18 = 4,642.28 : x
  2. Step 2: Convert to fraction form
    6,989.26/10,470.18 = 4,642.28/x
  3. Step 3: Cross multiply
    6,989.26x = 10,470.18 × 4,642.28
  4. Step 4: Simplify right side
    6,989.26x = 48,605,507.21
  5. Step 5: Solve for x
    x = 48,605,507.21/6,989.26
  6. Step 6: Final answer
    x = 6,954.31

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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.