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Finding the Fourth Proportional to 8,306.49, 11,455.49 and 5,472.84

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Solution

The fourth proportional to 8,306.49, 11,455.49 and 5,472.84 is: 7,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.49 : 11,455.49 = 5,472.84 : x
  2. Step 2: Convert to fraction form
    8,306.49/11,455.49 = 5,472.84/x
  3. Step 3: Cross multiply
    8,306.49x = 11,455.49 × 5,472.84
  4. Step 4: Simplify right side
    8,306.49x = 62,694,036.53
  5. Step 5: Solve for x
    x = 62,694,036.53/8,306.49
  6. Step 6: Final answer
    x = 7,547.60

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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.