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Finding the Fourth Proportional to 7,926.49, 10,939.71 and 4,569.22

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Solution

The fourth proportional to 7,926.49, 10,939.71 and 4,569.22 is: 6,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.49 : 10,939.71 = 4,569.22 : x
  2. Step 2: Convert to fraction form
    7,926.49/10,939.71 = 4,569.22/x
  3. Step 3: Cross multiply
    7,926.49x = 10,939.71 × 4,569.22
  4. Step 4: Simplify right side
    7,926.49x = 49,985,941.73
  5. Step 5: Solve for x
    x = 49,985,941.73/7,926.49
  6. Step 6: Final answer
    x = 6,306.19

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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.