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Finding the Fourth Proportional to 7,182.10, 9,908.47 and 5,298.22

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Solution

The fourth proportional to 7,182.10, 9,908.47 and 5,298.22 is: 7,309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.10 : 9,908.47 = 5,298.22 : x
  2. Step 2: Convert to fraction form
    7,182.10/9,908.47 = 5,298.22/x
  3. Step 3: Cross multiply
    7,182.10x = 9,908.47 × 5,298.22
  4. Step 4: Simplify right side
    7,182.10x = 52,497,253.92
  5. Step 5: Solve for x
    x = 52,497,253.92/7,182.10
  6. Step 6: Final answer
    x = 7,309.46

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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.