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Finding the Fourth Proportional to 8,300.82, 11,459.34 and 5,470.05

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Solution

The fourth proportional to 8,300.82, 11,459.34 and 5,470.05 is: 7,551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.82 : 11,459.34 = 5,470.05 : x
  2. Step 2: Convert to fraction form
    8,300.82/11,459.34 = 5,470.05/x
  3. Step 3: Cross multiply
    8,300.82x = 11,459.34 × 5,470.05
  4. Step 4: Simplify right side
    8,300.82x = 62,683,162.77
  5. Step 5: Solve for x
    x = 62,683,162.77/8,300.82
  6. Step 6: Final answer
    x = 7,551.44

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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.