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Finding the Fourth Proportional to 7,946.18, 10,943.52 and 7,773.99

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Solution

The fourth proportional to 7,946.18, 10,943.52 and 7,773.99 is: 10,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.18 : 10,943.52 = 7,773.99 : x
  2. Step 2: Convert to fraction form
    7,946.18/10,943.52 = 7,773.99/x
  3. Step 3: Cross multiply
    7,946.18x = 10,943.52 × 7,773.99
  4. Step 4: Simplify right side
    7,946.18x = 85,074,815.04
  5. Step 5: Solve for x
    x = 85,074,815.04/7,946.18
  6. Step 6: Final answer
    x = 10,706.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.