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Finding the Fourth Proportional to 7,294.84, 10,943.98 and 2,364.48

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Solution

The fourth proportional to 7,294.84, 10,943.98 and 2,364.48 is: 3,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.84 : 10,943.98 = 2,364.48 : x
  2. Step 2: Convert to fraction form
    7,294.84/10,943.98 = 2,364.48/x
  3. Step 3: Cross multiply
    7,294.84x = 10,943.98 × 2,364.48
  4. Step 4: Simplify right side
    7,294.84x = 25,876,815.92
  5. Step 5: Solve for x
    x = 25,876,815.92/7,294.84
  6. Step 6: Final answer
    x = 3,547.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.