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Finding the Fourth Proportional to 7,182.31, 9,908.76 and 5,298.37

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Solution

The fourth proportional to 7,182.31, 9,908.76 and 5,298.37 is: 7,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.31 : 9,908.76 = 5,298.37 : x
  2. Step 2: Convert to fraction form
    7,182.31/9,908.76 = 5,298.37/x
  3. Step 3: Cross multiply
    7,182.31x = 9,908.76 × 5,298.37
  4. Step 4: Simplify right side
    7,182.31x = 52,500,276.72
  5. Step 5: Solve for x
    x = 52,500,276.72/7,182.31
  6. Step 6: Final answer
    x = 7,309.66

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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.