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Finding the Fourth Proportional to 8,303.26, 11,459.80 and 5,318.94

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Solution

The fourth proportional to 8,303.26, 11,459.80 and 5,318.94 is: 7,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.26 : 11,459.80 = 5,318.94 : x
  2. Step 2: Convert to fraction form
    8,303.26/11,459.80 = 5,318.94/x
  3. Step 3: Cross multiply
    8,303.26x = 11,459.80 × 5,318.94
  4. Step 4: Simplify right side
    8,303.26x = 60,953,988.61
  5. Step 5: Solve for x
    x = 60,953,988.61/8,303.26
  6. Step 6: Final answer
    x = 7,340.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.