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Finding the Fourth Proportional to 8,306.46, 11,461.80 and 5,326.34

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Solution

The fourth proportional to 8,306.46, 11,461.80 and 5,326.34 is: 7,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.46 : 11,461.80 = 5,326.34 : x
  2. Step 2: Convert to fraction form
    8,306.46/11,461.80 = 5,326.34/x
  3. Step 3: Cross multiply
    8,306.46x = 11,461.80 × 5,326.34
  4. Step 4: Simplify right side
    8,306.46x = 61,049,470.95
  5. Step 5: Solve for x
    x = 61,049,470.95/8,306.46
  6. Step 6: Final answer
    x = 7,349.64

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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.