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Finding the Fourth Proportional to 7,445.38, 10,274.82 and 4,088.41

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Solution

The fourth proportional to 7,445.38, 10,274.82 and 4,088.41 is: 5,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445.38 : 10,274.82 = 4,088.41 : x
  2. Step 2: Convert to fraction form
    7,445.38/10,274.82 = 4,088.41/x
  3. Step 3: Cross multiply
    7,445.38x = 10,274.82 × 4,088.41
  4. Step 4: Simplify right side
    7,445.38x = 42,007,676.84
  5. Step 5: Solve for x
    x = 42,007,676.84/7,445.38
  6. Step 6: Final answer
    x = 5,642.11

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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.