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Finding the Fourth Proportional to 8,298.92, 11,448.88 and 5,462.64

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Solution

The fourth proportional to 8,298.92, 11,448.88 and 5,462.64 is: 7,536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.92 : 11,448.88 = 5,462.64 : x
  2. Step 2: Convert to fraction form
    8,298.92/11,448.88 = 5,462.64/x
  3. Step 3: Cross multiply
    8,298.92x = 11,448.88 × 5,462.64
  4. Step 4: Simplify right side
    8,298.92x = 62,541,109.84
  5. Step 5: Solve for x
    x = 62,541,109.84/8,298.92
  6. Step 6: Final answer
    x = 7,536.05

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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.