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Finding the Fourth Proportional to 11,506.62, 15,869.30 and 7,927.29

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Solution

The fourth proportional to 11,506.62, 15,869.30 and 7,927.29 is: 10,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.62 : 15,869.30 = 7,927.29 : x
  2. Step 2: Convert to fraction form
    11,506.62/15,869.30 = 7,927.29/x
  3. Step 3: Cross multiply
    11,506.62x = 15,869.30 × 7,927.29
  4. Step 4: Simplify right side
    11,506.62x = 125,800,566.74
  5. Step 5: Solve for x
    x = 125,800,566.74/11,506.62
  6. Step 6: Final answer
    x = 10,932.89

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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.