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Finding the Fourth Proportional to 7,505.30, 10,351.81 and 6,508.84

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Solution

The fourth proportional to 7,505.30, 10,351.81 and 6,508.84 is: 8,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.30 : 10,351.81 = 6,508.84 : x
  2. Step 2: Convert to fraction form
    7,505.30/10,351.81 = 6,508.84/x
  3. Step 3: Cross multiply
    7,505.30x = 10,351.81 × 6,508.84
  4. Step 4: Simplify right side
    7,505.30x = 67,378,275.00
  5. Step 5: Solve for x
    x = 67,378,275.00/7,505.30
  6. Step 6: Final answer
    x = 8,977.43

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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.