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Finding the Fourth Proportional to 7,106.11, 9,800.52 and 5,334.64

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Solution

The fourth proportional to 7,106.11, 9,800.52 and 5,334.64 is: 7,357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.11 : 9,800.52 = 5,334.64 : x
  2. Step 2: Convert to fraction form
    7,106.11/9,800.52 = 5,334.64/x
  3. Step 3: Cross multiply
    7,106.11x = 9,800.52 × 5,334.64
  4. Step 4: Simplify right side
    7,106.11x = 52,282,246.01
  5. Step 5: Solve for x
    x = 52,282,246.01/7,106.11
  6. Step 6: Final answer
    x = 7,357.37

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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.