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Finding the Fourth Proportional to 7,948, 10,968.24 and 4,411.78

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Solution

The fourth proportional to 7,948, 10,968.24 and 4,411.78 is: 6,088.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948 : 10,968.24 = 4,411.78 : x
  2. Step 2: Convert to fraction form
    7,948/10,968.24 = 4,411.78/x
  3. Step 3: Cross multiply
    7,948x = 10,968.24 × 4,411.78
  4. Step 4: Simplify right side
    7,948x = 48,389,461.87
  5. Step 5: Solve for x
    x = 48,389,461.87/7,948
  6. Step 6: Final answer
    x = 6,088.26

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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.