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Finding the Fourth Proportional to 10,922.34, 15,044.76 and 7,730.13

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Solution

The fourth proportional to 10,922.34, 15,044.76 and 7,730.13 is: 10,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.34 : 15,044.76 = 7,730.13 : x
  2. Step 2: Convert to fraction form
    10,922.34/15,044.76 = 7,730.13/x
  3. Step 3: Cross multiply
    10,922.34x = 15,044.76 × 7,730.13
  4. Step 4: Simplify right side
    10,922.34x = 116,297,950.62
  5. Step 5: Solve for x
    x = 116,297,950.62/10,922.34
  6. Step 6: Final answer
    x = 10,647.71

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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.